To solve this question, let's go through the steps involved:
1. Understanding the Total Number of Pockets:
Initially, there are a total of 6 pockets in the cargo pants.
2. Pockets Already Checked:
You have checked 2 pockets and did not find the money in them.
3. Remaining Pockets:
Since you've checked 2 out of the 6 pockets, there are [tex]\(6 - 2 = 4\)[/tex] pockets left to check.
4. Probability Calculation:
The probability of finding the money in the next pocket you check is determined by the number of remaining pockets, as the money could be in any one of these. So, the probability is:
[tex]\[
\text{Probability} = \frac{1}{\text{Number of remaining pockets}} = \frac{1}{4}
\][/tex]
Therefore, the probability that the money will be in the next pocket you check is [tex]\(\frac{1}{4}\)[/tex].
So, the correct answer is:
D. [tex]\(\frac{1}{4}\)[/tex]
