Experimental probability

Are these games fair? How can you tell?

Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?

Play this dice game yourself. How could you make it fair?

Terry and Ali are playing a game with three balls. Is it fair that Terry wins when the middle ball is red?

Have a go at this game which involves throwing two dice and adding their totals. Where should you place your counters to be more likely to win?

Charlie thinks that a six comes up less often than the other numbers on the dice. Have a look at the results of the test his class did to see if he was right.

In this game you throw two dice and find their total, then move the appropriate counter to the right. Which counter reaches the purple box first?

A counter is placed in the bottom right hand corner of a grid. You toss a coin and move the star according to the following rules: ... What is the probability that you end up in the top left-hand corner of the grid?

A gambler bets half the money in his pocket on the toss of a coin, winning an equal amount for a head and losing his money if the result is a tail. After 2n plays he has won exactly n times. Has he more money than he started with?

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 a head (you win). What is the probability that you win?