Sock-ability

Discrete Mathematics Level 3

I have 7 pairs of red socks, 6 pairs of blue socks, and 5 pairs of green socks in my drawer. If I randomly pick out 4 socks, what is the probability that I will get (at least) a matching pair?

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Details and Assumptions:

Besides the color, there is no difference between a left sock and a right sock.

\[0\] \[ \frac{1}{4} \] \[ \frac{1}{3} \] \[ \frac{1}{2} \] \[ \frac{2}{3} \] \[ \frac{3}{4} \] \[1\]

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