Question

Josh has 4 shirts (white, blue, green, and red) and 4 pairs of socks in the same colors. Suppose Josh grabs a shirt and a pair of socks without looking. What is the probability that his shirt and socks won't match?

Answer 1

He has a .66 chance that it wont match

Answer 2

Josh has 16 different combinations of "outfits" with the 4 colors of shirts and 4 colors of socks.
The combinations are in order: (Shirt, Sock)
White White; White Blue; White Green; White Red
Blue White; Blue Blue; Blue Green; Blue Red;
Green White; Green Blue; Green Green; Green Red;
Red White, Red Blue, Red Green; Red Red
P(Not the same) = 12/16 = 3/4