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Tell whether the following is certain t...

Tell whether the following is certain to happen, impossible, can happen but not certain
A tossed coin will land heads up

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To determine whether the statement "A tossed coin will land heads up" is certain to happen, impossible, or can happen but not certain, we can analyze the situation step by step. ### Step-by-Step Solution: 1. **Understanding the Coin Toss**: - A standard coin has two sides: heads and tails. When you toss a coin, it can land on either side. **Hint**: Remember that a fair coin has two possible outcomes. 2. **Identifying the Outcomes**: - The possible outcomes when tossing a coin are: - Heads - Tails - Each outcome has an equal chance of occurring. **Hint**: Think about the probability of each outcome when a coin is tossed. 3. **Analyzing the Probability**: - The probability of landing heads up is 1 out of 2 (or 50%). - Similarly, the probability of landing tails up is also 1 out of 2 (or 50%). **Hint**: Probability can be expressed as a fraction of favorable outcomes over total outcomes. 4. **Determining the Nature of the Event**: - The statement "A tossed coin will land heads up" is not certain because it can also land tails up. - It is not impossible either, as heads can indeed come up when the coin is tossed. **Hint**: Consider the definitions: - Certain to happen: 100% chance - Impossible: 0% chance - Can happen but not certain: Between 0% and 100% chance 5. **Conclusion**: - Since there is a 50% chance of the coin landing heads up, we conclude that it "can happen but is not certain." **Hint**: Reflect on the meaning of "can happen but not certain" in relation to the probabilities. ### Final Answer: The statement "A tossed coin will land heads up" can happen but is not certain.
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