Jeremy is randomly selecting an outfit to celebrate Probability Day at his school. He can choose from a green (G) or purple (P) shirt, denim (D) or khaki (K) pants, argyle (A) or crew (C) socks, and boots (B), flip-flops (F) or sneakers (S). What is the probability that Jeremy will select an outfit that includes flip-flops (F) and argyle (A) socks?

16.67% probability that Jeremy will select an outfit that includes flip-flops (F) and argyle (A) socks

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes. To find the number of outcomes, we use the permutations formula.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

Desired outcomes:

One shirt, from a set of 2.

One pant, from a set of 2.

Argyle socks.

Flip flops.

So

Total outcomes:

One shirt, from a set of 2.

One pant, from a set of 2.

One sock, from a set of 2.

One footwear, from a set of 3.

So

Probability:

16.67% probability that Jeremy will select an outfit that includes flip-flops (F) and argyle (A) socks

step-by-step explanation:

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