Question

A sock drawer has 8 blue socks and 6 black socks. If I randomly select two socks, one at a time, what is the probability I will first get a blue sock and then, without replacing it, a black sock?

Answer 1

The answer will A. 24/91 hopefully this helps!

Answer 2

8 blue, 6 black....total of 14 socks

P(blue sock) = 8/14 which reduces to 4/7
without replacing
P(black sock) = 6/13...I put it over 13 because since we didn't replace the first sock, we have 1 sock less.

P(both) = 4/7 * 6/13 = 24/91 <===