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A student buys 2 pairs of socks at a time. He has a total of 6 pairs, 2 pairs (4 socks) of type A socks,
A student buys 2 pairs of socks at a time. He has a total of 6 pairs, 2 pairs (4 socks) of type A socks, 2 pairs of type B socks, and 2 pairs of type C socks. So he has 12 socks total, 4 of each type. The student stores the socks randomly in a basket. In the morning it is dark so the student cannot see what type of sock he is pulling from the basket.
- If he pulls 2 socks from the basket, what is the probability that they match?
- If he pulls 4 socks from the basket, what is the probability that at least two of them match?
- If he pulls 3 socks from the basket, what is the probability that at least two of them match?
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