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# A drawer contains 6 red socks, 4 green socks, and 2 black ISBN: 9780073401331 38

## Solution for problem 12E Chapter 2.2

Statistics for Engineers and Scientists | 4th Edition

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Problem 12E

Problem 12E

A drawer contains 6 red socks, 4 green socks, and 2 black socks. Two socks are chosen at random. What is the probability that they match?

Step-by-Step Solution:

Solution :

Step 1 of 1:

We have red socks = 6

Green socks = 4 and

Black socks = 2

Our goal is :

We need to find the probability that the match.

Now we have to find the probability that the match.

The total number of socks is

=6+4+2

=12

Therefore the total number of socks is 12.

They are chosen randomly 2.

So the probability of red is

P(Red Red)= P(Red Red)= The probability of green is

P(Green Green)= P(Green Green)= and

The probability of black is

P(Black Black)= P(Black Black)= Now we have to find the probability of sock match.

Then the probability of sock match is

P(sock match)=P(Red Red)+P(Green Green)+P(Black Black)

P(sock match)= + + P(sock match)= P(sock match)= P(sock match)= P(sock match)= Therefore the probability of sock match is .

Step 2 of 1

##### ISBN: 9780073401331

The answer to “A drawer contains 6 red socks, 4 green socks, and 2 black socks. Two socks are chosen at random. What is the probability that they match?” is broken down into a number of easy to follow steps, and 26 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The full step-by-step solution to problem: 12E from chapter: 2.2 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This full solution covers the following key subjects: socks, match, contains, drawer, Green. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. Since the solution to 12E from 2.2 chapter was answered, more than 531 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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A drawer contains 6 red socks, 4 green socks, and 2 black