An electronic component has a failure probability of 0.10 when it is first used. If it does not fail right away, the chance that it will function for a year is 0.80. What is the probability that a new component will function for an entire year?

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72%

Correct

75%

80%

85%

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Explanation

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Official Explanation

Official

For the component to function for a full year, it must work when first used and then continue to work throughout the year. Therefore, the probability that it lasts the year is calculated as follows: Probability that it works when first used:

1 - 0.10 = 0.90

. Probability that it lasts for one year:

0.80

. Now,…

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Comments

NeelamMar 31, 2024

Great question!

rileyJun 26, 2024

thanks!

What this question tests

What it tests

Your ability to compute probabilities of single and compound events, including 'at least one' questions.

Common trap

Forgetting to use the complement for 'at least one', or treating dependent events as independent.