Work out a strategy for playing a game where a 100 sided fair die is rolled, and you are paid the value shown on the die in pounds. Each roll of the die costs £1.
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-Expected number of steps to get to ... given that ... - A bit of game theory in the more difficult round(Not too much game theory but it's helpful if you know a bit of game theory)
1. What's the angle between hour and minute at 11:40? 2. Four fair coins. 1) Probability of at least 2 heads 2) Given there are at least 2 heads, expectation of number of heads 3. Two fair dice, one 6-side, the other 10-side. You guess the sum x of two dice, if you are right, you get $x, otherwise nothing happens. Which number should you guess?
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Find optimal strategies for games which involve randomness (e.g. coin tossing, cards, etc.)
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