Question

Craig’s drawer contains 6 white socks, 5 blue socks, and 7 black socks. He selects a sock without looking and does not replace it. Then he selects another sock without looking. Find P(two black socks).

A-49/324
B-7/51
C-5/51
D-7/18

Answer 1

Answer: (b)

Explanation:

Given

Craig's drawer contains 6 white, 5 blue and 7 black socks

He first select a sock without looking and then select another sock

Probability that he select the two black socks is equal to the product of selecting first black sock and second black sock.

`\Rightarrow P=(7)/(18)* (6)/(17)\\\\\Rightarrow P=(7)/(51)`

Hence, option (b) is correct.