select the correct answer.\nyou are wearing a pair of cargo pants with six pockets. youve put $10 in one of…

select the correct answer.\nyou 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?\n\na. $\frac{1}{8}$\nb. $\frac{1}{6}$\nc. $\frac{3}{5}$\nd. $\frac{1}{4}$

select the correct answer.\nyou 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?\n\na. $\frac{1}{8}$\nb. $\frac{1}{6}$\nc. $\frac{3}{5}$\nd. $\frac{1}{4}$

Answer

Answer:

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

Explanation:

Step1: Determine remaining pockets

Initially 6 pockets, 2 checked. So $6 - 2=4$ pockets left.

Step2: Calculate probability

Probability = $\frac{1}{4}$ as 1 favorable pocket out of 4 remaining.