Adrawer contains 4 red socks, 3 white socks, and 3 blue socks. without looking, you select a sock at random, replace it, and select a second sock at random. what is the probability that the first sock is blue and the second sock is red?

First, find the total amount of socks, these will be your options. There are 10
So, your probability of getting a blue sock the first time is 3/10. Them, you replace it, meaning it is no more an option, this brings the number of options that you have down to 9. to get a red sock, you will have a probability of 4/9. But since the 2 events are independent (they are related), we will need to multiply both their probability.
3/10 x 4/9 = 12/90 = 2/15