Question

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

Answer 1

(10/26)*(16/26)= .2366

Answer 2

Answer : 40/169 = 0.237

Explanation -

Number of white socks = 16

Number of brown socks = 4

Number of black socks = 6

Number of brown and black socks = 4 + 6 = 10 socks

Total number of socks = 16 + 4 + 6 = 26 socks.

Probability of getting a black or brown socks -

P (black or brown) = 10/26 = 5/13.

Probability of getting a white socks -

P(white socks) = 16/26 = 8/13.

Probability of getting a black or brown first, and then with replacement, getting a white sock -

5/13 × 8/13 = 40/169.

40/169 = 0.237