Question 55

The probability that a certain electronic component fails when first used is 0.10. If it does not fail immediately, then the probability that it lasts for one year is 0.99. The probability that a new component will last for one year is

Solution

The probability that the component fails when used for the first time = 0.1 (or)

The probability that the component does not fail when used for the first time = 1 - 0.1 = 0.9

The probability that the component lasts for one year = 0.99

Hence, the probability that the component will last for one year = 0.9 x 0.99 = 0.891

Hence, option A is the correct answer.

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