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probability of picking two people without replacement

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If there are 20 people in the room, 12 men and 8 women, what is the probability of picking two people, without replacement, getting a woman on the first and a man on the second?

Explain what rule of probability applies, show it, and show the numbers that apply to the problem.

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The solution shows the calculation of the probability of picking two people without replacement from 20 people.

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If there are 20 people in the room, 12 men and 8 women, what is the probability of picking two people, without replacement, getting a woman on the first and a man on the second?

First, what's the probability of picking a female? There are 8 women, out of 20 total people, so the probability of picking a women is:
= 20 means that ...

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