Official papers

Official 2016 Paper 1 · Q7

Paper 1ProbabilityNumber & counting

60% of a sports club's members are women and the remainder are men.

This sports club offers the opportunity to play tennis or cricket. Every member plays exactly one of the two sports.

25\dfrac{2}{5} of the male members of the club play cricket;

23\dfrac{2}{3} of the cricketing members of the club are women.

What is the probability that a member of the club, chosen at random, is a woman who plays tennis?

A15\dfrac{1}{5}
B725\dfrac{7}{25}
C13\dfrac{1}{3}
D1125\dfrac{11}{25}
E35\dfrac{3}{5}

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.