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Winning Tickets At a meeting of 10 executives (7 women and 3 men), two door prizes are awarded. Find the probability that both prizes are won by men.

$\dfrac{1}{15}$

Intro Stats / AP Statistics

Chapter 4

Probability and Counting Rules

Section 5

Sampling and Data

Probability Topics

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Lectures

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02:21

Winning a Door Prize At a …

01:28

The sales force of a busin…

02:29

An Unlikely Event The pres…

00:51

The president of a large c…

01:38

In a superlottery, a playe…

01:34

In a club with 9 male and …

01:31

03:04

Solve each probability pro…

02:10

A class consists of 10 gir…

04:51

Educational Fellowship A u…

So in this problem, we have seven women and three men, and there are two prizes. And we want to know the probability that both prizes go to men. Um, so in this problem, there is no order. So we don't care about the order. And we use the combination in this problem. Um, so the probability the probability of two prizes won't by men equals. So the numerator should be the number of ways to select two men out of three. So this should be three. Choose to on the denominator should be the total number of ways to choose to people out of 10. So this is 10 shoes took. And if you use a calculator for this, this is three divided by 45. Andi, this finally goes to thanks. 0.67

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