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Flora the florist has 24 white, 42 red and 36 yellow roses.
What is the greatest number of identical bunches she can make that uses all of the flowers?
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?
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?
In how many ways can the number 1 000 000 be expressed as the product of three positive integers?