A shipment of 15 motor bikes contains 5 defective bikes. Find the probability of a firm purchasing 6 bikes and receiving 4 defective bikes?

2016-05-30 4:00 pm

回答 (1)

2016-05-30 4:06 pm
6 bikes out of 15 motor bikes can be purchased in C(15,6) = 5005 ways
4 defectives out of 5 = C(5,4) = 5
2 non-defectives out of 10 non-defectives in C(10,2) = 45

P( 4 defectives) = (C(5,4) * C(10,2) ) / C(15,6)
= (5)(45) / 5005
= 45/1001
= 0.04496


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