A tosses n+1 coins. B tosses n coins. B wins if he has at least as many heads as A. What is the probability that B wins?
Data Researcher Interview Questions
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You throw 1000 darts. Each one has a 50% chance to score. For the first 500 darts each is worth 1 point, for the second 500 darts each is worth 3 points. If you score 1500 points. Most likely how many 3point darts have you scored.
Basic linear algebra and basic calculus
Suppose you want to gamble in Vegas. In a game, you win $x if the number is prime and lose $x/2 if composite. The number is uniformly randomly generated by a machine between 1 and 10 inclusive. Will you play this game? Follow up: What if you can play n number of times and then stop. Will you play it?
You play rock, paper, scissors with an opponent, but your opponent cannot play rock. What should you play to maximize your expected profit if every time you win you win $1, lose you lose $1, draw you win $0?
Minimize the number of comparisons for finding minimum and maximum of a given set of numbers.
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
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