A has 5 fair coins and B has 4 fair coins. A wins only if he flips more heads than B does. Probability of A winning?
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what is the expected value of the absolute difference of the point of two 30 face dice
Russian Russel prob. A gun with six holes and two bullets neighboring. Shoot once not die, what's the probability for the next shoot?
We are playing a game where we start at 0 and flip a coin until someone wins. Every heads that is flipped adds +1 to the number and every tails add -1. If the number reaches -10 I (the interviewer) wins and if it reaches 20 then you win. What is the probability I will win? I am thinking of a 10 digit number. The first digit is the number of 0s in the number, the 2nd is the number of 1s etc...What is the number?
How long would a tunnel from NYC to San Fran. would be if you dig it through the earth as short as possible? If you traveled directly on the surface? What is you confidence bound (length +/-)? You are waiting for a bus which it takes a round trip of 10 minutes to complete (starts again when it completes one tour). What is your expected waiting time if you arrive at a random time? (uniform from 0 to 10, so 5min). Then, an extension: There is an ice cream shop somewhere on the bus route. The bus driver flips a fair coin every time it passes by it and f "H", spends 10 minutes to eat ice cream and then continue the tour. What is your expected waiting time now? What is the coin is biased?
6 people sitting around in a circle, probability for them to sit in increasing age (either clockwise or counter-clockwise)?
There are 27 race cars, you can only race 5 of them at a time. You have no stopwatch. What is the minimum number of races required in order to pick the 3 fastest cars.
roll a dice, win 2* the value of the face if it is an even number, or win 1*the value of the face if it is an odd number. what is the amount of money you need to charge to play the game. Then if you are given the opportunity to make a decision and play again, you will only be paid by the result of the last rolling. What is amount of money you need to charge to play the game
Two butterflies are trading on an underlying: a 50 butterfly and a 100 butterfly. Both are 5 wide and implied volatility is the same. Which one is more expensive?
You are sitting in front of a roulette table with a 6 sided dice and a standard deck of playing cards. What is the probability that you play all three games and receive the same number in all three?
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