Question

select the correct answer. you are wearing a pair of cargo pants with six pockets. youve put $10 in one of the pockets, but you cannot remember which one. after checking two pockets without success, what is the probability that the money will be in the next pocket you check? a. \\(\frac{1}{8}\\) b. \\(\frac{1}{6}\\) c. \\(\frac{1}{5}\\) d. \\(\frac{1}{4}\\)

Explanation:

Step1: Update total possible pockets

We start with 6 pockets, 2 were checked and are empty. Remaining pockets: $6 - 2 = 4$

Step2: Define favorable outcome count

There is 1 pocket with the money, so favorable outcomes = 1

Step3: Calculate probability

Probability = $\frac{\text{Favorable outcomes}}{\text{Total remaining outcomes}}$ = $\frac{1}{4}$

Answer:

D. $\frac{1}{4}$