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1/2 chances or 5/10

The answer in the book says 1/9...

i never said it was gonna be right there was a half chance i was wrong

lik if u got rid of that 1 sock and
did 4x2 =8+1=9

there's ur denominator

he picks one sock
it is some color

exactly it never said they were the same colors

so the probability that the next sock he picks has the same color is \(\frac{1}{9}\)

it is easier to think about it if you imagine picking one at a time instead of two at once

i think the first way is easier to envision, but it is a matter of taste i suppose