SOLUTION: From experience, a battery manufacturer knows the probability of a battery being defective is .08. If a retail customer buys four batteries, what is the probability that none of t

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Question 202386: From experience, a battery manufacturer knows the probability of a battery being defective is .08. If a retail customer buys four batteries, what is the probability that none of the batteries are defective?
Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

The probability that none of them are defective is the same as the probability that they are all good. If the probability that one is defective is 0.08, then the probability that one is good is 1 - 0.08 = 0.92. Since a given battery being either good or defective is independent of whether any other battery is good or defective, the four batteries are independent events.

Hence the probability of them all being good (and therefore the probability that none are defective) is:

You can do your own arithmetic.

John