To determine which event has exactly 12 possible outcomes, we can analyze each option:
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Tossing a coin and randomly choosing one of 4 different cards:
- Tossing a coin has 2 possible outcomes (Heads or Tails).
- Choosing one of 4 cards has 4 possible outcomes.
- Thus, the total number of outcomes is \(2 \times 4 = 8\).
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Tossing a coin 6 times:
- Each coin toss has 2 outcomes.
- For 6 tosses, the total number of outcomes is \(2^6 = 64\).
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Rolling a number cube with sides labeled 1 through 6 and tossing a coin:
- Rolling the number cube has 6 possible outcomes (1 through 6).
- Tossing a coin has 2 possible outcomes.
- The total number of outcomes is \(6 \times 2 = 12\).
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Rolling a number cube with sides labeled 1 through 6 and then rolling the number cube again:
- The first roll has 6 outcomes, and the second roll also has 6 outcomes.
- The total number of outcomes is \(6 \times 6 = 36\).
Therefore, the event that has exactly 12 possible outcomes is rolling a number cube with sides labeled 1 through 6 and tossing a coin.
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