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?
Trader Trainee Interview Questions
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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?
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.
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?
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?
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).
If I give you 10 million dollars, and in 5 years you had to give me back 10 million dollars, how would you make the most money? What if i gave you only 3 days?
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?
What would be the strike price of an option for a 12 on a 12 sided die that goes up by odds. The sides would be 1,3,5,7,9,11,13,15,17,19,21,23 and each dot on the die is 1 "point"=$1
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