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

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following

6e14 is the answer.