## Kevin is trying to find a brown sock in his drawer. He has 16 white socks, 4 brown socks, and 6 black socks. What is the probability that he

Question

Kevin is trying to find a brown sock in his drawer. He has 16 white socks, 4 brown socks, and 6 black socks. What is the probability that he pulls out either a black or white sock, puts it back and then pulls out a brown sock?

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1 week 2021-09-08T14:40:50+00:00 1 Answer 0

1. ### The probability that he pulls out either a black or white sock, puts it back and then pulls out a brown sock is

Step-by-step explanation:

Here , as given the total number of:

White Socks  = 16

Brown Socks = 4

Black socks  = 6

So, the total number of socks in the drawer   = 16 + 4 + 6 = 26 socks

Now, the probability of picking a sock either a black or white sock is

Also, the picked sock is replaced. So, now the total socks are same = 26.

the probability of picking a brown sock is

Now, since both events are independent events , so the combined probability is given as:

P (E) =

Hence, the probability that he pulls out either a black or white sock, puts it back and then pulls out a brown sock is