The question said we should find the possible outcome of each of the following:
(1) Flipping a coin three times.
Recall, when flipping a coin, there are two possible outcomes (heads or tails).
So flipping a coin three times means:
2³ = 8
Therefore, the possible outcomes of flipping a coin three times is 8.
(2) Rolling a 6-sided die twice.
recall, there are 6 outcomes for a first roll and 6 for the second so, the total number of possible outcome is:
6 * 6 = 36
Therefore, the possible outcomes of rolling a 6-sided die twice is 36.
(3) Rolling a 6-sided die and flipping a coin.
When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6).
So, putting these together, we will have:
2 * 6 = 12.
Therefore, the possible outcomes of rolling a 6-sided die and flipping a coin 12.