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10 students who play football and cricket 7 students who do not play football or cricket 14 students who play football 21 students who play cricket Find the probability that student chosen at random plays football and cricket?

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Answered Feb 20Maths
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Paul RichardsonResourceful tutor and undergraduate at The University of Manchester23 students helped

Probability is #of students who play both/#of students total. I assume from the wording that the "students playing football" includes those who also play cricket and vice versa. Therefore there are 14-10=4 students who play only football and 21-10=11 students who play just cricket. Probability is 10/(10+7+4+11)=10/32=5/16