Find the smallest positive integer, x, such that the product of all the digits of x is 10,000
Quantitative Researcher Intern Interview Questions
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Minimize the number of comparisons for finding minimum and maximum of a given set of numbers.
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?
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?
What is the expected number of tosses required to achieve 2 heads in an unbiased coin?
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