Suppose that you have 4 shirts (red, green, blue, yellow) and 3 pairs of shoes (black, brown, red). if you choose your shirt and shoes randomly, what is the probability that your shirt and shoes will not be the same color?

There are 4*3 = 12 different outfits to pick. Imagine laying out a grid where you can list all of the possible choices for the outfit. Think of it like a multiplication table. It might be a handy way to visually sort everything out.

Of these 12 combos, only 1 has your shirt and shoes matching in color. This is when you pick the red shirt and red shoes. The other 12-1 = 11 outfits will not match.

The probability that you do not pick the same color shirt and shoes is 11/12 (exact fraction form) since there are 11 cases of nonmatching outfits out of 12 total. This is approximately equal to 0.9167 in decimal form which converts to 91.67%