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.

Flickr George Redgrave

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

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Sock-ability

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100 Day Summer Challenge

Sock-ability

Flickr George Redgrave

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Master advanced concepts through explanations,
examples, and problems from the community.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.