Final answer:
The likelihood of drawing a black sock from the drawer is 1/4 or 25%.
Step-by-step explanation:
To find the probability of drawing a black sock from the drawer, we need to determine the number of black socks and the total number of socks in the drawer. In this case, Erin has 3 black socks and 9 orange socks. The total number of socks in the drawer is 3 + 9 = 12. Therefore, the probability of drawing a black sock is:
P(Black) = Number of black socks / Total number of socks
P(Black) = 3 / 12
P(Black) = 1/4
Therefore, the likelihood of drawing a black sock is 1/4 or 25%.