You flip 4 fair coins and get x dollars where x is the number of heads squared. What are your expected winnings?
Assistante Trader Interview Questions
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You roll a die until the sum of the integers rolled is greater than 13. What number are you most likely to stop on?
In an infinite sequence of coin flips, what is the probability that I get HHT before THH?
Coin Triplets Problem Denote H for head, T for tail in a coin flip. Flip a fair coin many times until either a pattern of HHT or HTT occurs. What's the probability that HHT occurs before HTT? Please elaborate the reasoning.
Suppose you have n points on a circle distributed such that after connecting all of the points with chords, the number of regions in the circle is maximized. How many regions are there?
If i toss 3 pieces on a tic-tac-toe board at random, and I pay you $9 if the pieces create tic-tac-toe, and you pay me $1 if they dont, do you want to play the game? (Expected value problem)
A piece of land has a 30% chance of being located over an oil reserve, in which case it is going to be worth 100M. If there is no oil, the land is worth 30M. You are offered an option to buy the land at 40M after inspecting it and ascertaining if there is oil. How much are you willing to pay for this option?
How many digits are in 99^10?
You roll a dice until you get a 5. What is the expected value of the minimum value rolled?
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?
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