You have been chosen to play a game involving a 6-sided die. You get to roll the die once, see the result, and then may choose to either stop or roll again. Your payoff is the sum of your rolls, unless this sum is greater than 9, in which case you "bust" and get nothing. What is your strategy for this game? That is, for each possible outcome of the first roll will you choose stop or to roll again?
Exactly what you would expect from a trading company. Probability, Expected Value, Game Theory, etc. I can't really go into the details.
What is eleven million minus one thousand and eleven? (needs to calculate in head without writing it down).
How many digits in 7^7?
What is the mass of the earth ?
Flip 3 fair coins. What is the probability of all three coming up heads?
What is the expected value of a dice? Make me a market on it.
What is 75 squared? You have ten seconds and cannot use pen or paper.
If copying, pasting and typing a letter each take one second, what is the fastest way to reach atleast 200 letters written?
Value of car uniformly distributed on 0-1000, you can sell for 1.5 its actual price provided you win the car by bidding at least its value. How much do you bid?
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