5 babies in a room, 2 boys and 3 girls. one baby with unknown sex is added. Randomly choose one baby and the result is a boy. What's the prob that the added baby is a boy?
Quantitative Research Associate Interview Questions
3,500 quantitative research associate interview questions shared by candidates
Let's play a game: There are 3 white balls and 4 black balls in a black box. If you get a white ball out your payoff +1, and -1 with a black ball. You can stop anytime and repeat the game infinite times. Will you play the game?
M by N matrix of lightbulbs&switches, interior switch each controls 9 lightbulbs, edge ones control 6, corner ones control 4. How many turns do you need to light up all bulbs?
Flip the coins, the expected time to get HHT
1) Tow coins, P(head)=1/3, P(tail)=2/3, design a way to get the effect of fair coin
10 island in a line. Two bridges between two consecutive island. one is okay, one is broken. If you take the broken bridge, you will falls into water and taken back to the start. start from the first island,find the expected number of time u cross the non-broken bridges when you reach the end.
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?
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?
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