Asked by Anonymous

A drawer has 4 red socks and 4 blue socks. If 3 are drawn, what is the probability of a match?

Answered by Steve
1.0

There are only two colors, so the 3rd sock must match one of the previous two.
Answered by PsyDAG
First the choice of one color = 4/8. With the 7 remaining socks, the choice of the other color = 4/7. With 3 remaining of each color in the 6 socks left, P = 3/6.

If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.

4/8 * 4/7 * 3/6 = ?
Answered by PsyDAG
Steve seems to be ignoring that you might pick 4 socks of the same color in a row.
Answered by Ms. Sue
Wouldn't 4 socks in a row produce 2 pairs of the same color?
Answered by PsyDAG
Sorry, I goofed. Mia Culpa!
Answered by Anonymous
So now I'm really confused. Ms. Sue can you please explain how to figure this one?
Answered by Ms. Sue
Steve is right. When you draw the third sock, you will have a match.

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