A drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks. Which best describes how to determine the probab
ility 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.
This would not be an appropriate sampling technique because it is biased and it would not be fair for 60 students to choose a mascot for a school with 800 students.
