Invent a set of three dice where each one is better than one of
the You and I play a game involving successive throws of a fair
coin. Suppose I pick HH and you pick TH. The coin is thrown
repeatedly until we see either two heads in a row (I win) or a
tail followed by. . . . The next ten people coming into a store
will be asked their birthday. If the prize is £20, would you bet
£1 that two of these ten people will have the same birthday ?
Imagine flipping a coin a number of times. Can you work out the
probability you will get a head on at least one of the flips? If
everyone in your class picked a number from 1 to 225, do you
think any two people would pick the same number? Can you work
out the probability of winning the Mathsland National Lottery?
Try our simulator to test out your ideas. Use cunning to work
out a strategy to win this game. How do different drug-testing
regimes affect the risks and payoffs for an athlete who chooses
to take drugs? Alison and Charlie are playing a game. Charlie
wants to go firs