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probabilty on toys that are defective

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probabilty on toys that are defective [#permalink] New post 15 Sep 2012, 07:17
In a toy manufacturing company the probability that the toy manufactured is defective is 0.1. For shipment purposes 5 toys are packed in a box.The shipment of the box of toys is only done if the inspection department of the company clears the box of toys after inspection.Due to strict government regulatory guidelines the inspection department of the company rejects the box of toys for shipment even if one of the toys is defective.What is the probability that the box of toys will be not be cleared for shipment by the inspection department of the toy manufacturing company?
1) 0.1

2) 0.15

3) 1-(0.1)5

4) (0.9)5

5) 1-(0.9)5
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Re: probabilty on toys that are defective [#permalink] New post 19 Sep 2012, 13:14
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Since the shipment can be rejected if "at least one" is defective, we have to use the common short cut:
P(at least 1) = P(all) - P(none)
= 1 - P(5 GOOD toys selected in 5 picks)
= 1 - 0.9*0.9*0.9*0.9*0.9
= 1 - 0.9^5

The answer choice should reflect an exponent.
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Re: probabilty on toys that are defective   [#permalink] 19 Sep 2012, 13:14
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