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How do you compute this

 

 

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 28, 2023
 #1
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probability is defined by the 

amount of times when it is true/ total amount of times (or false + true in most cases)

the total is 6! or 6*5*4*3*2*1

since we have the pair's of socks over 3 days we take every other integer to multiply

6*4*2

so if we take 6,4,2 out of the denominater

\(\frac{1}{5*3*1}\)

since 1*x = x we can take this out of the equation

5*3 = 15

the solution is \(\frac 1 {15}\)

 Jan 28, 2023

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