Mathematics, 22.05.2020 22:03 samiller30
A drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks. Which best describes how to determine the probability of pulling out a white sock, not replacing it, and pulling out another white sock?
The probability that the first sock is white is (StartFraction 6 over 10 EndFraction) and that the second sock is white is (StartFraction 6 over 10 EndFraction), so the probability of choosing a pair of white socks is StartFraction 36 over 100 EndFraction = StartFraction 18 over 50 EndFraction.
The probability that the first sock is white is (StartFraction 1 over 10 EndFraction) and that the second sock is white is (StartFraction 1 over 10 EndFraction), so the probability of choosing a pair of white socks is StartFraction 1 over 100 EndFraction.
The probability that the first sock is white is (StartFraction 6 over 10 EndFraction) and that the second sock is white is (StartFraction 5 over 9 EndFraction), so the probability of choosing a pair of white socks is StartFraction 30 over 90 EndFraction = one-third.
The probability that the first sock is white is (StartFraction 1 over 10 EndFraction) and that the second sock is white is (StartFraction 1 over 9 EndFraction), so the probability of choosing a pair of white socks is StartFraction 1 over 90 EndFraction.
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