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Omni-MATH / There are two red, two black, two white, and a positive but unknown number of…

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problem

There are two red, two black, two white, and a positive but unknown number of blue socks in a drawer. It is empirically determined that if two socks are taken from the drawer without replacement, the probability they are of the same color is 15\frac{1}{5}. How many blue socks are there in the drawer?
Plain-text mathematical notation (without MathML)
There are two red, two black, two white, and a positive but unknown number of blue socks in a drawer. It is empirically determined that if two socks are taken from the drawer without replacement, the probability they are of the same color is (1)/(5). How many blue socks are there in the drawer?
Original LaTeX notation
There are two red, two black, two white, and a positive but unknown number of blue socks in a drawer. It is empirically determined that if two socks are taken from the drawer without replacement, the probability they are of the same color is $\frac{1}{5}$. How many blue socks are there in the drawer?

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