How many outcomes are there for rolling a number cube with faces numbered 1 through 6 and flipping 2 quarters?

1H

1T
2H
2T
.
.
.
6H
6T

looks like 12 of them

To find the number of outcomes for rolling a number cube and flipping two quarters, we need to consider the possible outcomes for each event and multiply them together.

The number cube has 6 possible outcomes, since there are 6 faces numbered 1 through 6.

For flipping one quarter, there are 2 possible outcomes, heads or tails. Since we need to flip two quarters, we need to multiply the number of outcomes for each individual flip. Therefore, there are 2 × 2 = 4 total outcomes for flipping two quarters.

To find the total number of outcomes for both events together, we multiply the number of outcomes for each event. So, 6 (number cube outcomes) × 4 (two quarters outcomes) = 24 total outcomes.

Therefore, there are 24 possible outcomes for rolling a number cube with faces numbered 1 through 6 and flipping two quarters.