Johnson is working on a business proposal. The likelihood that vice-president Adams will endorse the proposal is 0.7. If VP Adams endorses the proposal, then the likelihood that vice-president Baker will also endorse it is 0.9. Conversely, if VP Adams does not endorse the proposal, the likelihood that vice-president Baker will endorse it drops to 0.4. What is the probability that exactly one of the two VPs endorses Johnson’s proposal?

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0.14

0.19

Correct

0.32

0.42

0.66

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Official Explanation

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To find the probability that exactly one of the two VPs endorses the proposal, we can calculate the probabilities for the two scenarios: (1) VP Adams endorses and VP Baker does not, and (2) VP Adams does not endorse and VP Baker does. The probability that VP Adams endorses is 0.7, and the probability that VP Baker does not endorse given that Adams endorses is 1 - 0.9 = 0.1. Thus, the probability for the first…

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Comments

LakshyaMar 14, 2024

cheers!

DhruvNov 2, 2024

Thank for sharing!

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.