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. 1/8
b. 1/6
c. 1/4
d. 1/3

Explanation:

Step1: Calculate the remaining pockets

There are 6 pockets in total. After checking 2 pockets without success, the number of remaining pockets is \(n = 6- 2=4\).

Step2: Calculate the probability

The probability \(P\) that the money is in the next pocket (out of the remaining 4 pockets) is given by the formula \(P=\frac{1}{n}\). Substituting \(n = 4\) into the formula, we get \(P=\frac{1}{4}\).

Answer:

C. \(\frac{1}{4}\)