A group of girls at a school is entered for Advanced Level Mathematics modules. Each girl takes

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A group of girls at a school is entered for Advanced Level Mathematics modules. Each girl takes only module M1 or only module M2 or both M1 and M2. The probability that a girl is taking M2 given that she is taking M1 is. The probability that a girl is taking M1 given that she is taking M2 is Find the probability that

(a) a girl selected at random is taking both M1 and M2,

(b) a girl selected at random is taking only M1.

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