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 King showed the Princess a map of the maze and the Princess was allowed to decide which room she would wait in. She was not allowed to send a copy to her lover who would have to guess which path. . . .
What are the likelihoods of different events when you roll a dice?
Which of these ideas about randomness are actually correct?
Can you work out which spinners were used to generate the frequency charts?
Can you generate a set of random results? Can you fool the random simulator?
What is special about dice?
How can we use dice to explore probability?
Your partner chooses two beads and places them side by side behind a screen. What is the minimum number of guesses you would need to be sure of guessing the two beads and their positions?
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
Will the witch make a profit or loss?
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?