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Suppose a single fair die is rolled. Find the probability that it a is a 6, given that it is an even number.

The probability is?

1 Answer

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Answer: 1/3

Step-by-step explanation:

"given it is an even number" tells us that the outcomes could be anything from this set {2,4,6}. We ignore the odd numbers entirely.

We have one copy of "6" out of three total items.

Therefore, we end up with a probability of 1/3

This is approximately equal to the decimal form 0.333 and the percent form 33.3%

I would stick to the fraction form since it's most exact. However, if your teacher instructs otherwise then be sure to follow said instructions of course.

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