X_1, X_2, ..., X_N are N random variables drawn from Uniform distribution on [0, 1]. What is the probability of the average of X is greater than 1?
Quantitative Associate Interview Questions
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What is the expected number of tosses required to achieve 2 heads in an unbiased coin?
Let a rope of unit length is cut into n pieces. What is the expected length of the smallest piece?
You are playing a game and the probability of winning is 0.6. Would you rather play best of 3, or play until someone is ahead by 2 points?
Robot wakes up every morning and does one of the following things with equal (1/4) probability: 1) self-destroys; 2) does nothing; 3) clones himself (so you have 2 robots); 4) clones himself two times (so you have 3 robots). If you have one robot at the start of the first day, what is the probability that, eventually, you will have no robots?
Give you a 4*4 chess box, can a knight start from any one of the squares and get to the rest squares without re-visit?
Given four uniform variables iid on [0,1], we connect the first two and connect the last two to form line segments. What is the probability that these segments overlap?
A conditional probability (Bayes theorem) problem. About jars and coins.
You have 99 distinct numbers from 1-100, how would you find which number is missing?
Consider a random walk on a discrete grid of 11 points (0 through 10). Supposed you have equal probabilty of stepping up or down. If you reach either 10 or 0 you must stop. If you start at point 6, what is the probability that you arrive at 10 before you arrive at 0?
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