A bag has three coins in it which are visually indistinguishable, but when flipped, one coin has a 10% chance of coming up heads, another as a 30% chance of coming up heads, and the last has 60% chance of coming up heads. I randomly draw a coin from the bag and flip it, and the result comes up heads. What is the probability that if I reflip this coin, it will come up heads again? Why?
Game based on coins/dice. Win money depending on outcome. How much would you pay to play the game? If you were allowed to reflip the coin or reroll the dice then how much would you pay now?
General Probability questions & brain teasers
4 problems in total with the last two being dice problems. The problems themselves aren't difficult but to answer them accurately, fast on the spot is non-trivial. Forget about the green book - only do dice and card problems and scrape the whole glassdoor.
Even more math questions, with a bit of game theory.
Rolling two fair dices, what is the probability of the multiple of the values are square numbers?
We first talked about the blotto problem. Then did a classic probability question, with Markov chains. Had to make realisation about each step being independent and then turn part of the question into a geometric sum. He led me through quite smoothly.
You bet on a number of die rolls to finish the game board. You play against 2 bots who trade with you. One is smart and knows the next roll and a dumb bot who does whatever you do.
How much would you pay to play this game?
Game on betting on dice and expected value
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