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My sock drawer contains two red socks, two white socks, and two blue socks.  For three days in a row, I pull out two socks out of my sock drawer at random.  What is the probability that I get matching socks on all three days?

 Jan 11, 2023
 #1
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Probability is:

successes/total

 

We start by finding the total number of draws that you can do:

6 * 5 * 4 * 3 * 2 * 1

 

Now, we have to find the probability that you actually draw your pair:

6 * 1 

-> For the first pair:

4 * 1

-> After taking out the second pair:

2 * 1 

-> For the third pair

 

So, successes are: (6 * 4 * 2)/(6 * 5 * 4 * 3 * 2 * 1)

 

1/(5 * 3)

1/15

 

So the probability is 1/15.

I might be incorrect as I'm not the best at this, so if you find it incorrect please tell me.

 Jan 11, 2023
 #2
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That is the wrong answer.

Guest Jan 12, 2023

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