# Hard Conditional Probability Questions

Instructions Use black ink or ball-point pen. This is the aptitude questions and answers section on "Probability" with explanation for various interview, competitive examination and entrance test. It is depicted by P(A|B). conditional probability. The question is. Solved examples with detailed answer description, explanation are given and it would be easy to understand - Page 2. Second, a conditional probability asks some property of that subset. Evaluate how much you know about real-life applications of conditional probability and independence with this quiz and worksheet. This corresponds to Bayes' theorem: This formula, which is deduced from all the reasoning we've done here, enables us to find the answer to our question with the data we can more easily find. Understand independence and conditional probability and use them to interpret data. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Math 114 ACTIVITY 5: Using the probability rules; Conditional Probability, Tree diagrams Why Understanding the probability rules is important for both understanding the language necessary for stating statistical results and understanding the way samples are related to populations - the basis of statistical inference. This has a 0. So what are the big problems in probability theory and stochastic analysis? I'm a grad student working in the field, but I can't name any major unsolved conjectures or open problems which are driving research. The probability that she will win the game of snooker is 4 3 The probability that she will win the game of billiards is 3 1 Complete the probability tree diagram. The best source for free probability worksheets. (Total 2 marks) 2. It turns out the true explanation, based on conditional probabilities or Bayesian reasoning. If it's about understanding why a simplistic approach to probability leads to miscarriages of justice - that matters. If it snows tomorrow, we will go skiing. In what follows, S is the sample space of the experiment in question and E is the event of interest. Exactly 1/5th of the people in a town have Beaver Fever. If it was, the probability of picking a red ball (etc. Question: In a country where everyone wants a boy, each family continues having babies till they have a boy. Independence can also be explained using conditional probability with respect to an event of positive probability: the conditional probability of is the probability that happens when we know that takes place. Sample Probability questions with solutions. The alternative, is that it was a 10, and he guessed correctly that this was the case. The interactive,. Assume that the order of assigning these positions matters. Big Question. If you reach in and grab one jelly bean, what is the probability that it will be watermelon flavored? Add up the total number of jellybeans, 20 + 45 + 30 + 5 = 100. A worksheet of questions with answers on conditional probability. 1) A coach is training 15 girls. Conditional Questions. Bruno de Finetti is one of the founding fathers of the subjectivist school of. This is the correct answer and example of conditional probability. Conditional Probability is the likelihood of an event or outcome occurring based on the occurrence of a previous event or outcome. To learn probability you should get yourself three things: 1. The conditional expressed by the truth table for " p q " is called material implication and may, for convenience, be called a fifth type of conditional. This is a famous question in understanding conditional probability, which simply means that given some information you might be able to get a better estimate. ) the second time will be the same as the first (i. tutorialspoint. Probability for Electrical and Computer Engineering EE 3150. (h) Apply the multiplication rule to determine. For the prime. Questions on Probability. Conditional Probability and Cards A standard deck of cards has: 52 Cards in 13 values and 4 suits Suits are Spades, Clubs, Diamonds and Hearts Each suit has 13 card values: 2-10, 3 "face cards" Jack, Queen, King (J, Q, K) and and Ace (A). $\endgroup$ – wsw Nov 11 '12 at 5:52. His son Matt accidentally knocked one over and onto the floor. And best of all they all (well, most!) come with answers. Conditional Probability: defintions and non-trivial examples. Two are to be selected at random for use on a particular day. These are some of the more general questions around data, statistics and data science that can be asked in the interviews. Tracing paper may be used. To fully understand the game of blackjack, you must understand and master blackjack odds. When a person goes to a doctor to test for Beaver Fever, with probability 2/3 the doctor conducts TEST1 on him and with probability 1/3 the doctor conducts TEST2 on him. The probability of a success, denoted by p, remains constant from trial to trial and repeated trials are independent. We write P(AjB) = the conditional probability of A given B. We try to calculate the probability of the second event (event B) given that the first event (event A) has already happened. We can do this as the conditions don't. To learn probability you should get yourself three things: 1. In the video he talks about traffic on the freeway. View Notes - ch04 from QMB 3200 at Florida International University. A condition of dependence is required as well (cf. File: ch04, Chapter 4: Probability True/false 101 1. 10/40 An Introduction to Basic Statistics and Probability - p. In what follows, S is the sample space of the experiment in question and E is the event of interest. For example, when they answer, "what is the probability that a 7th grader will like ice skating?" Students need to focus in on 7th grade and change the total number of students they analyze. (d) Solve counting problems using combinatorial methods. Find the conditional probability of the event the coin shows a tail given that at least one die shows a 3. Chapter 2: Probability The aim of this chapter is to revise the basic rules of probability. Number the four red threes 1 to 4. Probability and Statistics > Probability > Bayes' Theorem Problems. Such segmentation may rest in part on statistical learning. Tomlinson-Quinn Graphical Model This graphical model, for facilitating a visually moderated understanding of conditional probability, described in [9], is a modified tree diagram. Conditional probability is hard -- but teaching it *shouldn't* be! "What exactly is going on in their heads?" (And in mine?) Explaining "knowing disbelief" of climate change; I ♥ Item Response Theory -- and you can too! Don't even think of going there: the "whose is bigger" question on climate science literacy. " and "Name a time when you have had to work cross functionally to deliver a change or manage a specific risk. com or just starting a probability unit, you may want to take a look at the introductory probability lesson or the lesson on independent events. We note that Girotto and Johnson-Laird (2004, p. The concepts that surround attempts to measure the likelihood of events are embodied in a ﬁeld called probability theory. CP(dead/cow) = conditional probability of dying if near a cow. Kroese School of Mathematics and Physics The University of Queensland c 2018 D. Conditional Probability • Conditional probability means that you know the values of some variables, while the remaining variables are unknown. Think of P (A) as the proportion of the area of the whole sample space taken up by A. ) Given a data set, students will be able to determine if two events are independent. Here is the initial question, from August: On a multiple choice question, only one answer is correct. This is the aptitude questions and answers section on "Probability" with explanation for various interview, competitive examination and entrance test. Mutually exclusive and inclusive events, probability on odds and other challenging probability worksheets are useful for grade 6 and up students. I am trying to create a matrix of the conditional probabilities from this: Browse other questions tagged r conditional probability or ask What do hard. See glossary of probability and statistics. These notes can be used for educational purposes, pro-vided they are kept in their original form, including this title page. (And the probability of any particular sequence is 1/6N, if the distribution is uniform). Okay so if we're see at least what that would have to be is the probability that they watch 1 to 2 plus the probability watch 2 to 3 plus the probability your 3 to 4 so on and so forth. Sometimes it is easy to calculate the conditional probability, but may be hard or confusing to compute the probability of the intersection. Conditional probability is the probability of an event happening, given that it has some relationship to one or more other events. The probability of each branch is written on the branch The outcome is written at the end of the branch We can extend the tree diagram to two tosses of a coin: with Coach Sam the probability of being Goalkeeper is 0. Tsitsiklis Massachusetts Institute of Technology WWW site for book information and orders. Compute the probability of randomly drawing five cards from a deck and getting exactly one Ace. It's also important to understand blackjack odds such as the odds of hitting a 10 or the odds of being dealt a blackjack. Ask Question Asked 6 years, 10 months ago. ) According to Forrest Gump, “Life is like a box of chocolates. The second part of the Laws of Thought contained a corresponding attempt to discover a general method in probabilities, which should enable us from the given probabilities of any system of events to determine the consequent probability of any other event logically connected with the given events. (e) Use the addition rule to determine a probability. Be clear on the fact that whenever we pose a question about probability, we. Fully worked-out solutions of these problems are also given, but of course you should ﬁrst try to solve the problems on your own! c 2013 by Henk Tijms, Vrije University, Amsterdam. Choice (1)The probability that the two chosen squares have a common side is 1/18 Correct answer Explanatory Answer Hard. Precise relative locations for earthquakes in the northeast Pacific region. Probability questions: coin toss, bag of marbles, conditional probability, and card decks Probability question with conditional probability concepts A Series of Probability Questions Decision theory: optimal solution and conditional probability Random variables and probability problems Chevalier de Mere's puzzle and other questions of probability. Knowing about conditional probability should help you think more clearly about the probabilities you encounter. " and "Name a time when you have had to work cross functionally to deliver a change or manage a specific risk. Study the sentences given below. And of course there are still 52 cards. We do not have enough information to comment on the probability of each outcome, so the fourth statement is incorrect. Probability theory, a branch of mathematics concerned with the analysis of random phenomena. Instructions Use black ink or ball-point pen. The probability that you choose the fair coin is 1/3, and the probability of heads on said coin. 1)View SolutionPart (a): Edexcel S1 Statistics June 2014 Q4(a) : […] Good to see how much maths is being shown on the Google World Teachers Day logo. I checked already. That is, we worked with cases where we assumed that all outcomes were equally likely: i. In one state, 52% of the voters are Republicans, and 48% are Democrats. Conditional Probability Question. Probability revision and probability tree diagrams. A marble is randomly selected, the color noted, the marble replaced in the jar, then a second ma rble is drawn. In this case conditional probability must be used. Hello Wizard, I like to know what the chance is that somebody has pocket aces, given that there is an ace on the flop or turn. Bayesian networks are acyclic directed graphs that represent factorizations of joint probability distributions. Conditional Sentences Test Exercises - Multiple Choice Questions With Answers - Advanced Level 20 29 Free Online English Grammar Quizzes - Tests - Exercises About Conditional Sentences Test Exercises - Multiple Choice Questions With Answers - Advanced Level 20. Now, if we just plug in the values that we know, we can calculate the conditional mean of Y given X = 23:. Let's use this data to try to calculate the experimental probability. Generating functions have interesting properties and can often greatly reduce the amount of hard work which is involved in analysing a distribution. Analysis: This problem describes a conditional probability since it asks us to find the probability that the second test was passed given that the first test was passed. Conditional Probability and Cards A standard deck of cards has: 52 Cards in 13 values and 4 suits Suits are Spades, Clubs, Diamonds and Hearts Each suit has 13 card values: 2-10, 3 "face cards" Jack, Queen, King (J, Q, K) and and Ace (A). Probability and Compound Events Examples 1. # Question 7: # What is the probability there is exactly 1 website # Need to find the conditional probability of A given Y # could be The memoryless condition makes it hard to actually use. Probability Questions with Solutions. Understanding this content is essential to your success on the SAT, so be sure to tackle the questions in the Blue Book Database for extra practice upon completing the problem sets in this section of the book. Always show your workings. If, after the fact, a prisoner is picked at random and tried, the probability of his guilt is 99%. Fun maths practice! Improve your skills with free problems in 'Probability of simple events' and thousands of other practice lessons. (Of course What Is Random? is a question that is not all that simple to answer. Probability Using a Venn Diagram and Conditional Probability. If the manager of the Beach Hut is going to buy 50 cases of soda for the next day, about how many cases should be root beer?. Mathematics (Linear) - 1MA0 PROBABILITY & TREE DIAGRAMS Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser. Either it was a 20 (2/3 probability like you stated), and he guessed incorrectly that it was a 10. Question: Problem 3. The probability of a success, denoted by p, remains constant from trial to trial and repeated trials are independent. How should we change the probabilities of the remaining events? We shall call the. Many difficulties arise from a misunderstanding of conditional probability. How to Solve Probability Word Problems How to Solve Probability questions Probability Word Problems. Sometimes it is also called negative exponential distribution. So here's where conditional probability comes in. Students play the game and are asked several questions regarding the probabilities of winning. n(S) is the number of elements in the sample space S and n(E) is the number of elements in the event E. [Hard] A Fair Coin Is Tossed For N Times Independently (i) Suppose That N Conditional Probability That Successive Tails Neve (ii Let P Denote The Probability That Successive Heads Never Appear. Randomness—A chance effect, where one cannot predict the result exactly. Here's a question I saw the other day that seems relatively simple in its description, but which I would NOT want to try to solve (except possibly by trial-and-error). Suppose we assign a distribution function to a sample space and then learn that an event Ehas occurred. This gives us the simplest. Concepts include counting, conditional probability & Bayes Theorem. I can spell that out for you. Ask Question Asked 6 years, 10 months ago. Printable worksheets and online practice tests on Probability for Grade 10. 'The classical theory defines an event's probability as the proportion of alternatives, among all those possible in a given situation, that include the event in question. Basic Probability Formulas. It is depicted by P(A|B). But if conditional probability is about the chance that a positive test for cancer means you actually have cancer - that matters. ) the second time will be the same as the first (i. Conditional probability can be found by considering only those events which meet the. Conditional Probability and Independence Homework (Part 2) 1. And of course there are still 52 cards. It could only help. (And the probability of any particular sequence is 1 6 N, if the distribution is uniform). Introduction – Statistics and Probability Tutorial. Results are shown in the table. Probability is a ratio that compares the number of times that an outcome can happen with the number of all possible outcomes. Patrick Roger is a professor of Finance at EM Strasbourg Business School, University of Strasbourg. Probability questions: coin toss, bag of marbles, conditional probability, and card decks Probability question with conditional probability concepts A Series of Probability Questions Decision theory: optimal solution and conditional probability Random variables and probability problems Chevalier de Mere's puzzle and other questions of probability. Probability Theory solved examples & practice questions CHSL CLERK JE Experiment, Outcomes, Events Probability Theory examples practice questions Experiment—A process of measurement or observations. For these questions, the probability of both events occurring is the product of the outcomes of each event: P ( A ) P ( B ), where P ( A ) is the probability of the first event and P ( B ) is the probability of. So rather than being a question of fundamental Bayesian logic, this sounds more like a question of whether the adjustment for the problem is adequate, which is an empirical question, not a logical question. As a result of - As a result of seismic testing, oil was discovered on Henry's land. Probability and Compound Events Examples 1. Dear Readers, Welcome to Signals & Systems multiple choice questions and answers with explanation. I'm doing probability at the moment and I'm really struggling, so if anyone can help, I'll be very thankful! I've been stuck on this question for a while:. Attempt every question. Inferring the value of a population parameter from the statistic on a random. Are you ready for another episode of Fun With Conditional Probability? Of course you are! [See also: Probability and hard-drive failures here and here, probability as it applies to game-NPC dialogue and to second-hand smoke statistics, and this piece on transitive and nontransitive relationships. Understanding this content is essential to your success on the SAT, so be sure to tackle the questions in the Blue Book Database for extra practice upon completing the problem sets in this section of the book. For two events A and B,. Chapter 4 Probability, Sampling, and Estimation. Note two points:. But if conditional probability is about the chance that a positive test for cancer means you actually have cancer - that matters. The actual outcome is considered to be determined by chance. Answers and links to explanations to these these GMAT probability problems are at the end of set. They've given me that each of the geckoes had at least one of the characteristics, so each is a member of at least one of the circles. and also prepare you well for companies Like TCS, Infosys. How likely is it that he knocked over a can of spinach?. P(E 2 |E 1) is called the conditional probability of E 2 given that E 1 has occurred. The probability of occurrence of any event A when another event B in relation to A has already occurred is known as conditional probability. In a second state, 47% of the voters are Republicans, and 53% are Democrats. The probability that the first red three is in the player's stack is 54/108. And the probability that the third marble is white is 11/18, because we've already chosen 2 marbles. • Experimental probability - The estimated probability of an event; obtained by dividing the number of successful trials by the total number of trials. Videos, worksheets, 5-a-day and much more. Instructions Use black ink or ball-point pen. If you’re going to take a probability exam, you can better your chances of acing the test by studying the following topics. Special Multiplication Rule is related to a probability of a combined occurrence of two independent events (that is, the probability of one is not dependent on the probability of another or, in other words, conditional probability of one under condition of occurrence of another equals to its unconditional probability). When he does not get a lift he walks. In the attached there is example 6. The probability that you choose the fair coin is 1/3, and the probability of heads on said coin. A straightforward lesson provides reasonable examples of conditional probability, and models the most effective ways to reinforce the more complex parts of the lesson. Probability and Conditional Probability Bret Hanlon and Bret Larget Department of Statistics University of Wisconsin|Madison September 27{29, 2011 Probability 1 / 33 Parasitic Fish Case Study Example 9. The formula for conditional probability is P(A|B) = P(A and B)/P(B) In this case. Exactly 1/5th of the people in a town have Beaver Fever. We believe in the quality and value of our products and services, and we work hard to make sure they work well and are free of bugs. The probability of getting a heads is 3/4 as we solved for in a: so we get P(A and B)/0. 60=1/6 is the conditional probability of receiving an evening paper given one receives a morning paper. Two arguments are offered. Cleveland, K. These questions have been collated by me as the basis for a GCSE working party set up by the GLOW maths hub - if you want to get involved please get in touch. Instructions Use black ink or ball-point pen. 5) that the class probabilities depend on distance from the boundary, in a particular way, and that they go towards the extremes (0 and 1) more rapidly. Bayesian networks are acyclic directed graphs that represent factorizations of joint probability distributions. Many difficulties arise from a misunderstanding of conditional probability. This chapter introduces the rudiments of these two ﬁelds. I thought that the probability would be 1/2 because only two boxes have chocolate in them, and in the last box, if the first cupcake is chocolate, the 2nd will have to be vanilla. Step 1: Understanding what the Table is Telling you: The following Contingency Table shows the number of Females and Males who each have a given eye color. Playing Cards Probability Question There are 52 cards in a deck. Then (i) for a guesser, X has (conditional) distribution Bin(6,1/3) (ii) for a skilled candidate, X has (conditional) distribution Bin (6,1/2). We observe a random process (generically, an experiment), where multiple results (outcomes or events) are possible. Independence can also be explained using conditional probability with respect to an event of positive probability: the conditional probability of is the probability that happens when we know that takes place. It is the continuous counterpart of the geometric distribution, which is instead discrete. 9*(1/3) probability of occurring. Different types of probability include conditional probability, Markov chains probability and standard probability. Those examples you have mentioned are deliberately chosen to be ambiguous and confusing. So the key question here is what is the probability that the train is delayed?. These notes can be used for educational purposes, pro-vided they are kept in their original form, including this title page. Make sure you understand your probability questions is all we can say. Sometimes it is easy to calculate the conditional probability, but may be hard or confusing to compute the probability of the intersection. Before you draw each one out, you guess what colour it is. CP(dead/cow) = conditional probability of dying if near a cow. Online Practice of these difficult problems on Probability will enable you to perform well in Aptitude Tests of various competitive examinations like CAT, XAT, MAT, GRE, GMAT, SAT, IRMA, FMS, IIFT, NMIMS etc. Active 2 years, 6 months ago. Probability, Random Variables and Stochastic Processes, Papoulis Probability and Random Processes with Applications to Signal Processing, Stark and Woods. And the probability that the third marble is white is 11/18, because we've already chosen 2 marbles. Otherwise, i. They have a high probability of being on the exam. This video shows examples of using probability trees to work out the overall probability of a series of events are shown. A lot of difficult probability problems involve conditional probability. There is no co-occurrence of events. is we write it as F of Y1 condition on Y2. Probability Questions with Solutions. For example, suppose we wish to compute the probability of tossing at least one head in 10 tosses of a coin. A bag of jellybeans has 20 watermelon jellybeans, 45 sour apple jellybeans, 30 orange jellybeans and 5 cotton candy jellybeans. Previously we have discussed geometric probability examples and now it’s the turn for Conditional Probability which is an important part of cbse syllabus, If events M and N are independent, that is event M has no effect on the probability of event N, the probability of event N that is P (N) is the conditional probability of event N for the given event M. GCSE(H), Venn diagrams are used to determine conditional probabilities. ) According to Forrest Gump, “Life is like a box of chocolates. Conditional probability An Introduction to Basic Statistics and Probability - p. In addition, you are allowed a maximum of 3 pages of handwritten notes. Conditional Probability Question Help. Conditional Probability - Independent Practice Worksheet Complete all the problems. Second, a conditional probability asks some property of that subset. Random Walk. The method of convolution is a great technique for finding the probability density function (pdf) of the sum of two independent random variables. he fires it with probability 1/2 and moves to the next one. A lot of people get this (and simple probability, for that matter) wrong. What is the probability that the die will show an even number exactly two times? 5) A test consists of nine true/false questions. They cannot see their own hat, but can see the other hats. This probability is written P(B|A), notation for the probability of B giv. Conditional probability is the probability of occurrence of an event based on specific events. After some time, what is the proportion of boys to girls in the country? (Assuming probability of having a boy or a girl is the same) Answer: This is a very simple probability question in a […]. For the prime. Half of the girls and half of the boys have selected French as their optional subject. Described is a system for estimating conditional probabilities for operation of a mobile device. What they mean, reklaw, is that the same skeleton of math underlies many questions like this, for example, a coin toss. Conditional probability is the probability of one event occurring with some relationship to one or more other events. Good quality fully solved "Probability" Problems as a part of Aptitude Test Question Answers have been given on this page. (b) Represent the owner's decision problem using a tree diagram. (Of course What Is Random? is a question that is not all that simple to answer. In this example, the marginal probability is the same as the conditional probability. If, after the fact, a prisoner is picked at random and tried, the probability of his guilt is 99%. 1)View SolutionParts (a) and (b): Edexcel S1 Statistics June 2014 […] Good to see how much maths is being shown on the Google World Teachers Day logo. While theoretical probability is based on the prior knowledge on the possible outcomes, in some cases it’s difficult to compute the theoretical probability of an event. Solution of exercise 6. This article provides a survey of recent work in conditional logic. Tracing paper may be used. Probabilities are usually given as percentages. Questions about answering multiple-choice questions are common; this one offers a twist that provided opportunity to discuss several important concepts. To get probability of one result and another from two separate experiments, multiply the individual probabilities. The interactive,. I just wanted to receive the probability language by retelling the same story both in normal language and probability language. Most of the high level science and math careers center around the mastery of these skills. Fully worked-out solutions of these problems are also given, but of course you should ﬁrst try to solve the problems on your own! c 2013 by Henk Tijms, Vrije University, Amsterdam. Given your colossal and obvious failure to "Correct the Math," I suggest you look up Bayes Theorem and check out the concept of conditional probabilities. Free-to-play Statistics and Probability trivia quizzes in our Sci / Tech category. Make sure you understand your probability questions is all we can say. CP(dead/cow) = conditional probability of dying if near a cow. You can change your ad preferences anytime. The company therefore subjects each computer to a testing process. The video addresses the following: how this applies to you, how data is utilized in the workplace for making more informed decisions, and why this information is important. Find the probability that the student will choose one of the topics that he has studied. Zero Conditional Exercise – English Grammar Exercises This Zero Conditional Exercise tests your ability to use the zero conditional in English. Apply conditional probability formula. Probabilities are usually given as percentages. For the color guessing game, the expected number of dollars you get is the average identity between a permutation of rrbb and rrbb, which is 2. Probability revision and probability tree diagrams. Knowing and understanding what the probability of something happening is, can be very important and give you an edge others don't have. To determine the probability P(CjA), we mustweigh the oddsof two terms, each of them itself a product. These notes can be used for educational purposes, pro-vided they are kept in their original form, including this title page. The world According to de Finetti: On de Finetti’s Theory of Probability and its Application to Quantum Mechanics Joseph Berkovitz+* IHPST, University of Toronto joseph. Conditional probability is P(A|B). You may be wondering: "Hey, but what makes this course better than all the rest?". Conditional Probability and Tree Diagrams The calculations above were reasonably easy and intuitive. This activity is a great opportunity to group students or. Inferring the value of a population parameter from the statistic on a random. The video addresses the following: how this applies to you, how data is utilized in the workplace for making more informed decisions, and why this information is important. Law of Total Probability: The "Law of Total Probability" (also known as the "Method of C onditioning") allows one to compute the probability of an event E by conditioning on cases, according to a partition of the sample space. the attribute probability, when the context is obviously probability. (Total 2 marks) 2. This gives us the simplest. (i) Suppose That N = 5. Combined probability questions mean that events cannot be separated. Mathster; Corbett Maths. Example of Using a Contingency Table to Determine Probability. there are various standard theorems for solving the queries of conditional probability but mostly Baye's formula is used because it is easily understandable and its answer is more accurate than others. Find the probabilities. Let's say you are getting a pack of 2 chips, and you know that both chips are coming from the same , either good or bad company, with equal probability. If he decides to load the gun he then fires it or not with probability 1/2 and after that moves. Always express a probability as a fraction or decimal number between 0 and 1. For example, when they answer, "what is the probability that a 7th grader will like ice skating?" Students need to focus in on 7th grade and change the total number of students they analyze. keywords: Really,Conditional,Hard,Question,Probability,Really Hard Conditional Probability Question. The second part of the Laws of Thought contained a corresponding attempt to discover a general method in probabilities, which should enable us from the given probabilities of any system of events to determine the consequent probability of any other event logically connected with the given events. The solution is not very intuitive. The probability of an event occurring given that another event has already occurred is called a conditional probability. The theoretical minimum. ; Ammon, Charles J. Solve probability word problems involving combinations. Conditional Probability - Independent Practice Worksheet Complete all the problems. Incorrect! This is example of conditional probability. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.