2 out of 3
1 out of 3
Flora has roses in three colours. What is the greatest number of identical bunches she can make, using all the flowers?
2 out of 3
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 a head (you win). What is the probability that you win?
2 out of 3
Eight children enter the autumn cross-country race at school. How many possible ways could they come in at first, second and third places?
2 out of 3
Imagine you had to plan the tour for the Olympic Torch. Is there an efficient way of choosing the shortest possible route?
3 out of 3
To win on a scratch card you have to uncover three numbers that add up to more than fifteen. What is the probability of winning a prize?
3 out of 3
In how many ways can the number 1 000 000 be expressed as the product of three positive integers?
1 out of 3
