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?
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
Whenever the peasant has to make a choice of
which way to go he has 3 choices and no way of knowing which route
to take. Assume he chooses randomly and work out the probability of
him reaching chamber A and the probability of him reaching chamber
B. The clever princess has seen the map and worked out which
chamber he is more likely to end up in so she waits there knowing
that then the story is more likely to end up happily ever
Xing Cong gave the solution that the
princess should wait in A because the probability of the peasant
arriving in A is 5/9, and he sent this diagram.