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Three screws are drawn at random from a ...

Three screws are drawn at random from a lot of 50 screws, 5 of which are defective.
Find the probability of the event that all 3 screws are non-defective assuming that the drawing is a) with replacement b) without replacement.

Text Solution

Verified by Experts

The correct Answer is:
`P(A)=((9)/(10))^(3)`
`thereforeP(A)=(1419)/(1960).`
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Knowledge Check

  • I: A box contains 20 screws , 5 of which are defective. 2 screws are drawn at random. The probability of event that neither of the two screws is defective is 21//38 . II: A box contains 5 black, 4 white and 6 red balls. 2 balls are drawn without replacement. The probability that the first will be first will be white and the second will be black is 4//21 .

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