Consider Event G as rolling a number greater than 3 on a 6-sided die, while Event H is defined as rolling a 4 or 5. What is the probability that both events G and H happen at the same time during one roll of the die?

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Correct answer marked below

1/3

Correct

1/6

1/2

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Explanation

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Official Explanation

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Event G is defined as rolling a number greater than 3 on a 6-sided die, which includes the outcomes 4, 5, and 6. Event H is defined as rolling a 4 or 5. We need to find the outcomes where both events G and H occur simultaneously. The valid outcomes for Event G are: 4, 5, 6. The valid outcomes for Event H are: 4, 5.…

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Comments

EnriqueJun 30, 2024

can you explain more?

RaghavMay 2, 2024

Thankss

VaivaSep 1

Wait, isn't this a trick? Both events happen on the same roll so you need a number that's both >3 and is 4 or 5. So 4 and 5 both work... that's 2 out of 6.

AnshulJun 24

is it not just the overlap of the two events? like what numbers satisfy both

ColinJun 1

thanks! these intersection questions always trip me up

VarunMay 27

huh I picked 1/6 because I thought you had to multiply 1/2 * 1/3. why is that wrong here?

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.