Suppose that you have a fair coin. You start with $0. You win 1$ each time you get a head and loose $1 each time you get tails. Calculate the probability of getting $2 without getting below $0 at any time.
Quantitative Analyst Interview Questions
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toss 100 coins, what is the probability of getting more than 60 heads?
There are two racks, X and Y. X contains red (R) socks with probability 0.4 and black (B) socks with probability 0.6. Y contains R with probability 0.7 and B with probability 0.3. I pick a rack randomly. From that rack, I pick 2R. What is the probability that those 2R come from rack X?
How to calculate row product of a matrix, use a language you're familiar with.
There are two agents A and B. A has 'n' coins and B has 'n-1' coins (n>1). If they toss all the coins, what is the probability that B gets more heads than A (gets heads)?
The price of a stock is $10 now. It has .6 prob. increasing to 12 and .4 prob. going down to 8. Interest rate is 0. What's the value of a call option with strike $10?
From (0,0,0) to (3,3,3) in 3D space how many paths are there if we move only right, forward or up?
You have a chest of 8 drawers. With probability 1/2, you put a letter in one of the drawers. With probability 1/2, you don't put a letter in any drawer. I open the first 7 drawers, all are empty. What is the probability there is a letter in the 8th drawer?
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?
There are an unknown amount of people on a bus. After the first stop, three-quarters of them get off and 7 get on. This happens again a two more stops. After this process, what is the minimum amount of possible people that could be on the bus?
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