15. higher order thinking is it possible for the possible outcomes in the sample space of rolling a 6…

15. higher order thinking is it possible for the possible outcomes in the sample space of rolling a 6 - sided die twice to be the same as rolling a 12 - sided die twice?

15. higher order thinking is it possible for the possible outcomes in the sample space of rolling a 6 - sided die twice to be the same as rolling a 12 - sided die twice?

Answer

Explanation:

Step 1: Calculate sample space for 6-sided die twice

Each roll has 6 outcomes, so total outcomes: (6 \times 6 = 36).

Step 2: Calculate sample space for 12-sided die twice

Each roll has 12 outcomes, so total outcomes: (12 \times 12 = 144).

Step 3: Compare sample space sizes

36 ≠ 144, so they cannot be the same.

Answer:

No, it is not possible.