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? A) 12 13 B) 22 169 C) 30 169 D)

The answer to the question is

The probability that he pulls out either a black or white sock, puts it back and then pulls out a brown sock is 22/169 ≈ 0.130

Step-by-step explanation:

To solve the question we note the given variables

Number of white socks = 16

Number of brown socks = 4

Number of black socks = 6

Total number of socks = 26

Probability of pulling out a white socks P(A) = 16/26

Probability of pulling out a brown socks P(A) = 4/26

Probability of pulling out a black socks P(A) = 6/26

Probability of pulling out either a black or white socks = 16/26 + 6/26 = 22/26

Probability of pulling out either a black or white socks replacing it back and then pulls out a brown sock = 22/26 × 4/26 = 11/13 × 2/13 =22/169 = 0.130

1/5^2 = 7.56/45