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GaryK [48]
3 years ago
8

If you can’t answer seriously then don’t answer at all

Mathematics
1 answer:
Anit [1.1K]3 years ago
7 0

The container has a total of 41 possible numbers from which to draw, and so each one as a probability of \dfrac1{41} of being drawn.

Most of these numbers are even (21 of them) and

P(\text{even})=\dfrac{21}{41}

20 of these numbers are greater than 30, so

P(\text{greater than 30})=\dfrac{20}{41}

and among these, exactly half are even, so that

P(\text{greater than 30 AND even})=\dfrac{10}{41}

So we have

P(\text{greater than 30}\mid\text{even})=\dfrac{P(\text{greater than 30 AND even})}{P(\text{even})}=\dfrac{\frac{10}{41}}{\frac{21}{41}}=\dfrac{10}{21}\approx0.48

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