Final answer:
There are 24 total possibilities when spinning a spinner, flipping a coin, and rolling a pyramid dice. However, there are only 2 favored outcomes that meet the criteria of landing on a vowel (a), getting heads on the coin, and rolling an odd number on the dice.
Step-by-step explanation:
To determine the total number of possibilities when using a spinner that can land on a, b, or c, a coin that can be heads or tails, and a pyramid dice with sides 1 to 4, we need to calculate the product of the number of outcomes for each independent event. Here's the calculation:
- Spinner outcomes: a, b, c (3 possible outcomes)
- Coin outcomes: heads, tails (2 possible outcomes)
- Pyramid dice outcomes: 1, 2, 3, 4 (4 possible outcomes)
Now, we multiply the number of outcomes for each separate event to find the total number of possibilities:
3 (spinner) × 2 (coin) × 4 (dice) = 24 total possibilities.
To find the number of outcomes where you have a vowel (which is 'a' from the spinner), heads from the coin, and an odd number (which are 1 and 3) from the pyramid dice, we calculate:
1 (vowel 'a') × 1 (heads) × 2 (odd numbers) = 2 favored outcomes.
Therefore, there are 24 total possibilities and 2 favored outcomes that match the criteria of getting a vowel, heads, and an odd number.