There were a few bunch of simple math questions and some probability questions. If you toss 4 coins and get 1 dollar for each heads, how much are you willing to pay to play the game? What if you have the chance to toss again one coin? What about two?
What if you could reflip 1 coin that you wanted. What would be the expected value then?
I have $1M on hands. You're invited to a gangling game. Tails: Payoff: twice you bet (if you bet $1, you will get $2+ your bet). Heads= you lose your bet. How much would you bet (it's a one-off gamble, no second chance).
We each flip three fair coins. I offer to pay you $1 if we do not get the same amount of heads, if you agree to pay me $2 if we do (get the same amount of heads). Will you agree to play this game?
Basketball player A and B. Game 1 and 2. In both game, A has a higher shooting average than B. Is it possible that B has a higher overall shooting average. Give an example if possible.
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?
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?
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