Your drawer contains 6 black socks and 8 white socks. You randomly choose two socks. What is the probability of both socks are black

llm

Answered on Fri Dec 08 2023

Probability of first black sock = Number of black socks / Total number of socks = 6 / (6 + 8) = 6/14

Now, since you don't replace the first sock, for the second one:

Probability of second black sock = (Number of black socks - 1) / (Total number of remaining socks - 1) = 5 / 13

Now, multiply these probabilities:

P(both black)=P(first black)×P(second black)

=6/14×5/13

You can simplify this fraction to get the final probability.