Flipping of a coin. Heads $20, tails -$5. Do you like this game. Second game, $20million heads, tails -$5. Do you prefer the second game? Last game is the same values as the first game, we can play it once or 100 times which would you prefer and why?
You have a deck of 3 black cards and 3 red cards in random order. There is a game where you turn over one card at a time; if it is red you win a dollar, if it is black you lose a dollar. How much would you pay to play this game?
There are 2 boys and unknown number of girls in a nursery. A new baby is just born inside the room. We pick randomly a baby from the room, it turns out that the baby is a boy. What is the probability that the new baby just born is a boy?
If you have two torpedoes, each with a 2/3 probability of sinking a ship, what is the probability that a ship is sunk after firing both? Follow up - If you know that the ship has been sunk, what is the probability that one or both hit the ship?
Given a black box that spits out random numbers from 0 through 1 (probability distribution can be random) such that events are independent and the probability of drawing any one number is 0, simulate a coin flip (with EXACTLY 50% heads, 50% tails).
20 facet dice question. 2 ppl play a game. A call a number and B replies a number if the dice is closer to whichever number, that person gets paid the amount. Who should give the number first?
There are infinite cards numbered 1-5. You construct a deck. Someone guesses a value and draws a card. If they guessed correctly, they get the value. What composition of the deck minimizes their expected value?
You and I play a game, we roll two dice and both pick a number before rolling them. The one closer to the sum wins. The distribution is non-uniform, with 40 % chance of getting a sum of 12 and a uniform distribution for all the other numbers. What is your strategy? Go first or second?
Three questions. I could not remember clearly. But there was one about three colors to paint the cube. no opposite faces have the same color.
Suppose I have two pancakes, one with two burnt sides, one with one burnt and one unburnt side. I choose one of these pancakes randomly, and then look at one of its sides, chosen at random. It is burnt. What is the probability that I chose the pancake with two burnt sides?
Viewing 231 - 240 interview questions