There are seven black socks, eight blue socks, 10 white socks, and five patterned socks in the drawer. What is the probability of pulling a blue sock, replacing it, and then drawing a patterned sock out of the drawer?

2/45

Step-by-step explanation:

Total socks:

7 + 8 + 10 + 5 = 30

P(blue) × P(patterned)

8/30 × 5/30

4/15 × 1/6

2/45

2/45

Step-by-step explanation:

The total number of socks is 7+8+10 +5

30

P(blue) = number of blue socks / total

           = 8/30 = 4/15

Then we replace it so we have the same number of socks

P(patterned) = number of patterned socks / total

                     = 5/30 = 1/6

P(blue, replace/patterned) = 4/15*1/6

                                             =2/45