20 items of which 8 are non defective are inspected one after the another if these items are chosen at random. What is the probability that the first two items inspected are defective.
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Answer:8/20
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LET THE DEFECTIVE PIECES BE D AND NON DEFECTIVE PIECES BE N
If first two items are inspected then the outcomes can be one of the following:-
(D,N) (D,D) (N,N) (N,D)
Therefore total no. of outcomes are:-4
No. favourable outcomes:-1
{since there is only one outcome of both defective (D,D)}
Therefore,
p(of getting first two items defective) =
no. of favourable outcomes/total no. of outcomes
=1/4.
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