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 are the likelihoods of different events when you roll a dice?

Identical discs are flipped in the air. You win if all of the faces show the same colour. Can you calculate the probability of winning with n discs?

What is special about dice?

How can we use dice to explore probability?

Six balls of various colours are randomly shaken into a trianglular arrangement. What is the probability of having at least one red in the corner?

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. . . .

7 balls are shaken in a container. You win if the two blue balls touch. What is the probability of winning?

In this game the winner is the first to complete a row of three. Are some squares easier to land on than others?

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?