Which of these ideas about randomness are actually correct?
What are the likelihoods of different events when you roll a dice?
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?
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. . . .
Seven balls are shaken. You win if the two blue balls end up touching. What is the probability of winning?
Discs are flipped in the air. You win if all the faces show the same colour. What is the probability of winning?
Six balls are shaken. You win if at least one red ball ends in a corner. What is the probability of winning?
What is special about dice?
How can we use dice to explore probability?
Will the witch make a profit or loss?
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?
In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?