We are asked to find the total number of possible outcomes when spinning a spinner, flipping a coin, and rolling a die. The spinner has two possible outcomes (7 and 8), the coin has two possible outcomes (heads and tails), and the die has six possible outcomes (1, 2, 3, 4, 5, and 6).

Probability and StatisticsCounting PrinciplesCombinatoricsProbabilityFundamental Counting Principle
2025/3/13

1. Problem Description

We are asked to find the total number of possible outcomes when spinning a spinner, flipping a coin, and rolling a die. The spinner has two possible outcomes (7 and 8), the coin has two possible outcomes (heads and tails), and the die has six possible outcomes (1, 2, 3, 4, 5, and 6).

2. Solution Steps

To find the total number of possible outcomes, we multiply the number of outcomes for each event.
- Spinner outcomes: 2
- Coin outcomes: 2
- Die outcomes: 6
Total outcomes = (Spinner outcomes) * (Coin outcomes) * (Die outcomes)
Total outcomes = 2262 * 2 * 6
Total outcomes = 464 * 6
Total outcomes = 2424

3. Final Answer

24

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