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 Image with alt text: twenty-three over twenty-one Image with alt text: one-third Image with alt text: sixteen over twenty-one 4
To find the probability that Joey will blindly reach into his sock drawer and pull out a sock that is either brown or a dress sock, we need to first calculate the total number of brown socks and dress socks Joey has.
Brown socks: 7 brown dress socks + 6 brown ankle socks = 13 brown socks
Dress socks: 3 black dress socks + 7 brown dress socks = 10 dress socks
Total brown or dress socks = 13 brown socks + 10 dress socks = 23 socks
Total socks in the drawer = 3 black dress socks + 5 black ankle socks + 7 brown dress socks + 6 brown ankle socks = 21 socks
Therefore, the probability that Joey will blindly reach into his sock drawer and pull out a sock that is brown or a dress sock is:
Total brown or dress socks / Total socks in drawer = 23/21
The correct response is:
sixteen over twenty-one