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Problem in Probability

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Please help to answer the following question.QuestionTo redeem a souvenir from a chain store, one must collect a set of frou different types of coupons, namely A, B, C, D. Suppose that a customer has collected 10 coupons independently, wtih each equally likely to be one of these four types.(a) Find the... 顯示更多 Please help to answer the following question. Question To redeem a souvenir from a chain store, one must collect a set of frou different types of coupons, namely A, B, C, D. Suppose that a customer has collected 10 coupons independently, wtih each equally likely to be one of these four types. (a) Find the probability that the customer has no coupon of type A. (b) Find the probability that the customer has no coupon of type A and type B (c) Find the probability that the customer can redeem a souvenir.

最佳解答:

(a) P(no A in 10 coupons) = P(all 10 coupons are B, C or D) = (3/4)1? = 59049/1048576 ===== (b) P(no A and B in 10 cards) = P(all 10 coupons are C or D) = (2/4)1? = (1/2)1? = 1/1024 ===== (c) P(cannot redeem a souvenir) = P([no A in 10 coupons] or [no B in 10 coupons] or [no C in 10 coupons] or [noA in 10 coupons]) = 4 x (3/4)1? = 31?/4? = 59049/262144 P(can redeem a souvenir) = 1 - P(cannot redeem a souvenir) = 1 - (59049/262144) = 203095/262144

其他解答:A9A39959EDCC7BE3

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