100 pennies in a jar. 1 penny has 'heads' on both sides. You pick a penny out of the jar and give it to your friend (without looking at the penny). Your friend flips the penny in the air and gets 7 heads in a row. Which penny do you have? Why?
Trader Assistant Interview Questions
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I have 100 coins, 99 that are heads/tails and one that is double sided heads. If I pick one of the coins at random, flip it seven times, and get 7 heads in a row, is the coin more likely to be double sided heads or a regular heads/tails coin.
19x19
'how much do you want to bet on a dice game where you can reroll if you don't like your first try?' (roughly paraphrased) = What is the expected outcome of a dice game where you can re-roll if your first roll is 1-3?
X,Y ~ Phi(0,1) (normal distribution). What is the probability that X > 5*Y
Which is bigger, 2^(1/3) or 10^(1/10)?
We are playing a game where the first person to say "40" wins, and each player must add 1-10 to the previous number. For example, I say 5; you can say any number 6-15 to which I have to react. For you to say "40" first, what is your strategy? Hint: You need to choose whether or not to go first, then your strategy going forward.
A can finish a job in 100 min, B can finish the same job in 120 min. A and B work together on this job, but after 40 min C comes to help them and they finish the job in additional 10 min. How long would it take to C to finish the job by himself?
Suppose there's a 60% chance of rain on saturday, and a 80% chance of rain on sunday. Given that it rained over the weekend, what's the chance it rained saturday?
if you have 5 digits what is the largest number you can create whilst keeping the product 120, can you make it arbitrary large if we remove the restriction on number of digits?
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