The problem asks us to determine the total number of possible outcomes when spinning a spinner and flipping a coin. The spinner has three sections labeled F, H, and G. The coin has two sides (heads and tails).

Probability and StatisticsCombinatoricsProbabilityCounting OutcomesFundamental Counting Principle
2025/3/13

1. Problem Description

The problem asks us to determine the total number of possible outcomes when spinning a spinner and flipping a coin. The spinner has three sections labeled F, H, and G. The coin has two sides (heads and tails).

2. Solution Steps

First, we determine the number of outcomes for the spinner. The spinner has 3 possible outcomes: F, H, or G.
Next, we determine the number of outcomes for the coin flip. The coin has 2 possible outcomes: heads or tails.
To find the total number of possible outcomes when both events occur, we multiply the number of outcomes for each event.
Total outcomes = (Number of spinner outcomes) * (Number of coin outcomes)
Total outcomes = 32=63 * 2 = 6

3. Final Answer

6

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