Consider a scenario where x is randomly selected from the set {3, 4, 5, 6}, y is randomly selected from the set {4, 5, 6}, and z is randomly selected from the set {8, 9, 10}. What is the probability that the sum x + y + z exceeds 20?

Answer Choices

Correct answer marked below

1/6

1/9

Correct

1/10

1/12

1/15

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Explanation

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Official Explanation

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To find the probability that x + y + z is greater than 20, we first determine the total number of combinations. The total combinations are 4 (for x) * 3 (for y) * 3 (for z) = 36. Next, we calculate the combinations where x + y + z > 20. The possible…

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Comments

WilsonFeb 14, 2025

greatt question!

SnehamMar 12, 2025

Can you explain more?

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.