A game involves randomly selecting one card from two cards (X and Y) and then spinning a spinner. The spinner has 12 sections labeled A through L. We need to find the total number of possible outcomes.

Probability and StatisticsProbabilityCombinatoricsCounting Outcomes
2025/5/5

1. Problem Description

A game involves randomly selecting one card from two cards (X and Y) and then spinning a spinner. The spinner has 12 sections labeled A through L. We need to find the total number of possible outcomes.

2. Solution Steps

First, we determine the number of outcomes from selecting a card. There are two cards, so there are 2 possible outcomes.
Second, we determine the number of outcomes from spinning the spinner. There are 12 sections on the spinner, so there are 12 possible outcomes.
To find the total number of possible outcomes, we multiply the number of outcomes from each step:
TotalOutcomes=(Number of card outcomes)(Number of spinner outcomes)Total Outcomes = (Number\ of\ card\ outcomes) * (Number\ of\ spinner\ outcomes)
TotalOutcomes=212=24Total Outcomes = 2 * 12 = 24

3. Final Answer

The total number of possible outcomes is
2

4. Answer: (C) 24 outcomes

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