Find the probability. Please write your answer as a fraction.Your sock drawer has four white socks, two brown socks, and six black socks. You randomly pick a sock and put it on your left foot and then pick another sock and put it on your right foot. You leave the house with a white sock on your left foot and a brown sock on your right foot.Answer
Question
Find the probability. Please write your answer as a fraction.Your sock drawer has four white socks, two brown socks, and six black socks. You randomly pick a sock and put it on your left foot and then pick another sock and put it on your right foot. You leave the house with a white sock on your left foot and a brown sock on your right foot.Answer
Solution
To solve this problem, we need to find the probability of each event happening independently, and then multiply those probabilities together.
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The probability of picking a white sock first: There are 4 white socks out of a total of 12 socks. So, the probability is 4/12 or 1/3.
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After picking a white sock, there are now 11 socks left. The probability of picking a brown sock next is 2 out of 11. So, the probability is 2/11.
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To find the total probability of both events happening, we multiply the probabilities together. So, the total probability is (1/3) * (2/11) = 2/33.
So, the probability of leaving the house with a white sock on your left foot and a brown sock on your right foot is 2/33.
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