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OxbridgeMind TMUA Paper 2 · Q11

Paper 2ProbabilityNumber & counting

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

The sports club offers the opportunity to play football or rugby. Every member plays exactly one of the two sports.

2/32/3 of the male members play football.

2/52/5 of rugby members are women.

What is the probability that a member chosen at random is a women who plays football?

A25\frac25
B15\frac15
C415\frac4{15}
D215\frac2{15}
E315\frac3{15}

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