50 people were asked which fruits they liked from apples, bananas and oranges. 11 people like all three fruits. 33 people like apples. 6 like apples and bananas but not oranges. 15 like bananas and oranges. 5 of the people do not like any of the fruits. All 25 people who like oranges like at least one other fruit.
Two of the 50 people are chosen at random. Work out the probability that they both like bananas. Hence, work out the probability that at least one of the two people likes bananas.
72 exam-style questions on Edexcel GCSE Maths Conditional Probability. Each one has a worked solution and a mark scheme showing where the marks go.