In a diving event, each participant has a 25% probability of executing a flawless dive. Only the first flawless dive in the event will earn a perfect score, while any subsequent dives will not. If Lisa is the fourth participant to dive, what is her probability of achieving a perfect score?

Answer Choices

Correct answer marked below

1/4

1/12

5/36

27/256

Correct

61/256

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In a diving event, each participant has a 25% probability of executing a flawless dive. Only the first flawless dive in the event will earn a perfect score, while any subsequent dives will not. If Lisa is the fourth participant to dive, what is…

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Comments

ChrisFeb 22, 2024

thank you very much!

DivyankaMar 7, 2025

Great

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.