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?
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The total number of socks in Joey's drawer is 3 (black dress socks) + 5 (black ankle socks) + 7 (brown dress socks) + 6 (brown ankle socks) = 21 socks.
The number of brown socks in Joey's drawer is 7 (brown dress socks) + 6 (brown ankle socks) = 13 brown socks.
The number of dress socks in Joey's drawer is 3 (black dress socks) + 7 (brown dress socks) = 10 dress socks.
To find the probability of Joey pulling out a brown or dress sock, we need to add the number of brown socks and dress socks together and then divide by the total number of socks:
(13 + 10) / 21 = 23 / 21 = 0.57
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 0.57, or 57%.