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. The probability that two of the 50 people chosen at random both like bananas is 58175\displaystyle \frac{58}{175}17558.
Work out the number of people who like 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.