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.
Bluey-green, white and transparent squares with a few odd bits of
shapes around the perimeter. But, how many squares are there of
each type in the complete circle? Study the picture and make an
Both 9 and 10 can be made up in 2 different ways by adding pairs
of the numbers 1, 2, ... 6, that is
9 = 3 + 6 = 4 + 5
10 = 4 + 6 = 5 + 5
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