Answer: D: StartFraction 1 over 12 EndFraction.
Step-by-step explanation:To find the probability that both socks drawn are white, we can use the multiplication rule of probability.
The probability of drawing a white sock on the first draw is 3/9 (since there are 3 white socks out of 9 total socks in the drawer).
After the first sock is drawn and kept, there are 8 socks remaining in the drawer, including 2 white socks. So the probability of drawing a white sock on the second draw, given that a white sock was not replaced after the first draw, is 2/8.
Using the multiplication rule, we can find the probability of both events happening (drawing a white sock on the first try and drawing a white sock on the second try):
P(white, then white) = P(white on first draw) × P(white on second draw | white on first draw)
P(white, then white) = (3/9) × (2/8)
P(white, then white) = 1/12
Therefore, the probability that both socks drawn are white is option D: StartFraction 1 over 12 EndFraction.