Question

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), sneakers (S). What is the probability that Jeremy will select an outfit that includes flip-flops (F) and argyle (A) socks?​

Answer 1

The probability of selecting an outfit with flip-flops and argyle socks is 1/16 or 0.0625.

Step-by-step explanation:

To calculate the probability of selecting an outfit that includes flip-flops (F) and argyle (A) socks, we need to find the probability of selecting flip-flops and argyle socks out of all the possible combinations of shirts, pants, socks, and shoes.

There are 2 choices for the shirt (Green or Purple), 2 choices for the pants (Denim or Khaki), 2 choices for the socks (Argyle or Crew), and 2 choices for the shoes (Boots or Sneakers).

Therefore, the total number of outfit combinations is 2 x 2 x 2 x 2 = 16.

Out of these 16 combinations, there is only 1 combination that includes flip-flops (F) and argyle socks (A), which is FGAF (Green shirt, Denim pants, Argyle socks, and Flip-flops).

So, the probability of selecting an outfit that includes flip-flops and argyle socks is 1/16 or 0.0625.