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Jeremy is randomly selecting an oufit to celebrate Probability Day at his school. He can choose 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 oufit that includes flip-flops, argyle socks and denim pants?


I NEED HELP! PREPARING FOR A QUIZ 2MORROW! I NEED TO KNOW THE ANSWER!

Respuesta :

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

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