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Note 10:Conditional Probability
A/B “A occurs knowing that B has occurred” Given P(A /B) = P(A B) P(B)
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Example 1: In a school of 88 boys, 32 study Economics, 28 study History and 39 do not study either subject. Find the probability that a student studies Economics and History If the student studies Economics find the probability he does not study History
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E H 11 21 17 39 P(H and E) = P(H’ /E) = P(H’ E) = P(E) =
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Example 2: A packet of seeds contains 40% red seeds and 60% yellow seeds. The probability that a red seed grows is 0.9 and that a yellow seed grows is A seed is chosen at random from the packet. Given that the seed grows, find the probability that it is red?
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G R NG G Y NG P(R/G) = P(R G) P(G)
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Studies: Page 522 Exercise 16I.2
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