TMUA 2016 Paper 1 Q7 — Worked Solution

P1·Statistics & Probability·5.5Official · 2016 · Q7

conditional-probabilitytwo-way-tablefractions

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.

\frac{2}{5}

of the male members of the club play cricket;

\frac{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?

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TMUA 2016 Paper 1 Question 7

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