In this case, you have to find out the probability that the second test was passed by a student given that he passed the first test already. MEASURE    4/5 * 3/5 * 2/5 = 24/125 Hussey should have Amy Hussey pull the trigger again without spinning. Explanation: It's a conditional probability problem. You are approached at a party by a shrouded figure who informs you that he/she has a brother. We know that the first chamber Amy Hussey fired was one of the four empty chambers. If Amy Hussey spins the chamber again, the probability that she shoots Hussey would be 2/6, or 1/3, since there are two possible bullets that would be in firing position out of the six possible chambers that would be in position. Glassdoor has millions of jobs plus salary information, company reviews, and interview questions from people on the inside making it easy to find a job that’s right for you. I provide my answers to these questions in the back so that you can compare your solutions to mine. 1/2 have a boy and stop: 0 girls STORY    The probability that Christopher donât have a digit same as either Adam or Bella will be 3/5. (A "intersect" B)/B. Let us take two friends in the beginning. Ram and Ramesh appeared in an interview for two vacancies in the same department. RIDDLE    1 â 24/125 = 101/125, 60% However, if you just go on calculating the negative probabilities, then you can simply subtract it from 1 to find the positive probability. 1/32 have 4 girls, then a boy: 4*X/32 girls 4) B2 (T) B1 (H) 3) why cant be 1 : If the answer is 1 then because answer:"1" is 1 out of 4 answer choices, the answer must be 1/4. SITUATION. Now the probability that they have same number in mind will be: 2) why cant be 1/2 : If the answer is 1/2 then because answer:"1/2" is 1 out of 4 answer choices, the answer must be 1/4. SCIENCE    Please see our Community Guidelines or Terms of Service for more information. About jars and coins.. AKBAR & BIRBAL    1/16 have 3 girls, then a boy: 3*X/16 girls Interview question for Quantitative Analyst.A conditional probability (Bayes theorem) problem. In all such cases where you have to find out the probability of anything with an already given situation, you have to use the formula for conditional probability. Next he/she asks you to guess his gender. 1X 2X 3X 4X Since we know one of the children is a boy, we will drop the girl-girl possibility from the sample space. Explanation: TRICK    Total: X boys and This is a contradiction, so the answer cannot be 1/4. Now let us include Christopher in the scene. The probability that she does not have any number in mind which is same as either Adam or Bella or Christopher will be 2/5. Therefore, the proportion of boys to girls will be extremely close to 1:1. 2) A2 (H) A1 (H) 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. #1 - Chances Of Second Girl Child Problem, #2 - Conditional Probability Riddle For Interview, #3 - Conditional Probability Brain Teaser, #7 - Famous Probability Interview Problem. TIME & DISTANCE    = 0.25/0.42 We are not implying that you wonât get answer by directly calculating the probabilities, but it will take much time. TRIVIA    MYSTERY    Learn how to enable cookies. Explanation: Copyright © 2008–2020, Glassdoor, Inc. "Glassdoor" and logo are registered trademarks of Glassdoor, Inc. 0% WHAT AM I    EQUATION    Pick a coin at random, and toss it 10 times. =0.60 SQAURE COUNTING    Enter your name or username to comment. It's the probability of an event A given that an event B has occured. This leaves only three possibilities, one of which is two boys. What is the probability that both children are girls? If you are one of … Since the bullets were placed in consecutive order, one of the empty chambers is followed by a bullet, and the other three empty chambers are followed by another empty chamber. This is also a contradiction. HUMOUR    This will keep on going like this. Jacob, thanks for giving a concrete question and applying Bayes' rule in an illustrative way. PROBABILITY    Let us begin the operations and not confuse you further more. Probability is the area that is devotedly loved by so many people. ... Topic : Probability and Statistics Gate Questions | Conditional Probability Gate Questions. Given that you see 10 heads, what is the probability that the next toss of that coin is also a head? MATCHSTICKS    Explanation: Leave a Reply Cancel reply. Otherwise you are likely to get frustrated. Please describe the problem with this {0} and we will look into it. Then the probability of the 11th head is 1/2 and the probability the 11th is tail is 1/2. SERIES    You have to find the probability where all of them have same number in mind. Here you can assume that if a child is a girl, her name will be Lilia with probability $\alpha \ll 1$ independently from other children's names. Boy - Girl And intuitively, after 10 heads in a row, there should be a higher than 1/1000 chance that the coin was the double-sided coin. 1/2 In this case, the probability of B (flipping four heads) = 0.75*0.5*0.5*0.5*0.5 + 0.25*1*1*1*1 If any of the first 99 people sit in Abhishek seat, Abhishek will not get to sit in his own seat. These Conditional Probability Questions can be time taking as well. "PriorP(fair)= .999P(double-headed) = .001Collect DataProbability if fair = .5^10 = 0.0009765625Probability if double-headed: 1PosteriorP(fair)= 0.0009765625 * .999 = 0.00097558593 = 0.00097558593/0.00197558593 = 0.494P(double-headed)= 1 * .001 = .001 = .001/0.00197558593 = 0.506So, the coin is more likely (but just barely) to be double-headed. However, the trick to do this question is something opposite. The conditional probability of event B given event A is ... Use the General Binomial Probability formula to answer this question: General Binomial Probability Formula. One or more comments have been removed. CIVILSERVICE    Half of the others will have a girl and will have a baby again. Conditional probability is just a sub category and instead of explaining in detail what it is all about, we suggest you to simply read any one of the below questions and you will understand much more than you will if we explain you with words. Give your answer to 3 significant figures. CIPHER    I was recently asked a "logic puzzle" type question at a job interview which seems to be a slightly mangled version of a N-coin puzzle (intended to test the subject's knowledge of conditional probability). I make two people out of one. ODDD ONE OUT    So the answer cannot be 1/2. I will list common and classic questions in four topics: general probability, Binomial distribution, conditional probability, and Bayesian probability. 2. Now the combined probability that none of them has the same number in mind will be: 1/4 have a girl, then a boy: X/4 girls PICTURE    Your feedback has been sent to the team and we'll look into it. But you stopped short of answering the question-- what is the probability that the next flip is a heads.Using the probability of each coin, the answer can be calculated as:P(next toss is H) = P(double-headed) * P(H | double-headed) + P(fair) * P(H | fair) = 0.506 * 1 + (1-0.506) * ½ = 0.75308945Doing 3 significant figures yields a final answer of 0.753.This is roughly halfway between the fair coin's head probability (0.5) and the double-sided (1.0). 1) why cant be 1/4 : If the answer is 1/4, then as we know two out of four answer choices is '1/4', the answer has be 1/2. Again the same contradiction and therefore answer cannot be 1. In this article, I will list 12 questions in probability for you to practice. The conditional probability is found by dividing the probability of B by the probability of A and B occuring i.e. 2/3 Conditional probability is just a sub category and instead of explaining in detail what it is all about, we suggest you to simply read any one of the below questions and you will understand much more than you will if we explain you with words. Put one black rock in one sack and put all the rest in the other one. 1/3 In other words, we want to find the probability that both children are girls, given that the family has at least one daughter named Lilia. one of two is the possibility LOGIC    MATHS    â¦ 1) A1 (H) A2 (H) We know that the probability of having a boy or having a girl is same and thus, half of the couples will stop after having a boy child. Girl - Boy a) 1/4 b) 1/2 c) 1 d) 1/4 View Answer Discuss. STATEMENTS    But if you try to do that, you will have to do a lot of calculations and utilize your brain plenty much. It would not be wrong to say that the journey of mastering statistics begins with probability.

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