Question

Jeremy is randomly selecting ans outfit to celebrate probability day at his school.He can chose from a green or purple shirt, denim or khaki pants, argyle or crew socks, and boots, flip-flops or sneakers. what is the probability that Jeremy will select an outfit that includes flip-flops and argyle socks?

Answer 1

Jeremy can choose his outfit in following ways:
2 ways to select a shirt
2 ways to select a pant
2 ways to select socks
3 ways to select the footwear.

Total number of ways to select the dress = 2 x 2 x 2 x 3 = 24 ways

Jeremy will select an outfit that includes flip-flops, argyle socks and denim pants. The shirt is not specified, so the shirt can be any.

So there are 2 ways to select a shirt, 1 way to select the pant, socks and footwear. So Jeremy can select the desired outfit in 2 ways.

Thus, the probability that Jeremy will select an outfit that includes flip-flops, argyle socks and denim pants = 2/24 = 1/12