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 to
follow. Which room should she wait in to give her lover the
greatest chance of finding her?
Four fair dice are marked differently on their six faces. Choose
first ANY one of them. I can always choose another that will give
me a better chance of winning. Investigate.
Explain why it is that when you throw two dice you are more likely to get a score of 9 than of 10. What about the case of 3 dice? Is a score of 9 more likely then a score of 10 with 3 dice?
Chris and Jo decide to play a game.
They put two red and four blue ribbons in a box.
They each pick a ribbon from the box without looking (and without replacing them).
Jo wins if the two ribbons are the same colour and Chris wins if the two ribbons are a different colour.
Is the game fair?
If not, how many ribbons of each colour would you need in the box to make it a fair game?
Is there more than one way to make a fair game?
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