Final answer:
The probability of Kara getting a matching sock on her second draw, given that the first sock drawn is blue, is 3/14.
Step-by-step explanation:
To find the probability that Kara will get a matching sock on her second draw, we need to consider the number of matching socks left in the drawer after the first draw.
Given that the first sock drawn is blue, there are 3 blue socks left in the drawer.
Since Kara needs to pick a pair of matching socks, the second sock she draws must also be blue. Therefore, the probability of getting a matching sock on her second draw is 3/14.