A pile of socks has 12 green socks, 4 blue socks, and 8 purple socks. A sock is chosen at random, not replaced, then a second sock is chosen.
Which expression can be used to determine the probability that both socks are
green?
A
B
C
D
The probability of the first sock being green is 12/24 (since there are 12 green socks out of a total of 24 socks). After the first green sock is chosen and not replaced, there are 11 green socks left out of a total of 23 socks. Therefore, the probability of the second sock being green, given that the first sock was green, is 11/23.
The probability of both socks being green is the product of these two probabilities:
P(both green) = (12/24) x (11/23) = 0.2391 (rounded to four decimal places).
Therefore, the correct expression to determine the probability that both socks are green is:
B) (12/24) x (11/23) = 0.2391