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