To determine the probability that the money will be in the next pocket you check, given that you've already checked two of the six pockets without success, here is a detailed, step-by-step solution:
1. Total Number of Pockets: There are 6 pockets in total where the money could initially be.
2. Pockets Already Checked: You have checked 2 of the pockets and found no money in them.
3. Remaining Pockets: \
Since you’ve already checked and eliminated 2 pockets, the number of remaining pockets where the money could be is:
[tex]\[ 6 - 2 = 4 \][/tex]
4. Calculating the Probability: \
The probability that the money will be in any one of the remaining pockets is the number of favorable outcomes (1 pocket with the money) divided by the number of possible outcomes (4 remaining pockets).
[tex]\[ \text{Probability} = \frac{1}{\text{Remaining Pockets}} = \frac{1}{4} \][/tex]
Therefore, the correct answer is:
[tex]\[ D. \frac{1}{4} \][/tex]
