Joey’s sock drawer is unorganized and contains 3 black dress socks, 5 black ankle socks, 7 brown dress socks, and 6 brown ankle socks. What is the probability that Joey will blindly reach into his sock drawer and pull out a sock that is brown or a dress sock?
(1 point)
Responses
twenty-three over twenty-one
Image with alt text: twenty-three over twenty-one
one-third
Image with alt text: one-third
sixteen over twenty-one
Image with alt text: sixteen over twenty-one
4
sixteen over twenty-one
To find the probability of pulling out a brown or a dress sock, add the number of brown socks (7 dress + 6 ankle = 13) and the number of dress socks (3 black + 7 brown = 10).
So, the total number of desired socks is 13 + 10 = 23.
The total number of socks in the drawer is 3 black dress + 5 black ankle + 7 brown dress + 6 brown ankle = 21.
Therefore, the probability is 23/21 = 16/21.