O lvl E Maths: Probability

Question from http://sgforums.com/forums/2297/topics/344458

The probabilities that Alif, Kannan and Caili will pass an art examination are 4/5, 5/7, and 2/3 respectively. Find the probability that

(a) at least 1 of them will pass the art examination

(b) Only Alif will pass the art examination

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Answer:

a) P(all fail) = 1/5 * 2/7 * 1/3 = 2/105

P(at least one pass) = 1 - 2/105 = 103/105

b) P(only Alif will pass the art examination) = 4/5 * 2/7 * 1/3 = 8/105

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