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If the probability of an event is equal to 1, What must be true about the event?Group of answer choicesThe probability of the event happening and the probability of the event not happening are the same.The event is unlikely but not impossible.The event is impossible.The event is probable but not certain.The event is certain.

Question

If the probability of an event is equal to 1, What must be true about the event?Group of answer choicesThe probability of the event happening and the probability of the event not happening are the same.The event is unlikely but not impossible.The event is impossible.The event is probable but not certain.The event is certain.

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Solution

To answer the question step by step:

  1. Understanding Probability: Probability is a measure of the likelihood that an event will occur. It ranges from 0 to 1, where 0 means the event is impossible and 1 means the event is certain.

  2. Given Probability: The probability of the event is given as 1.

  3. Implication of Probability 1: If the probability of an event is 1, it means that the event will definitely occur. There is no chance that the event will not occur.

  4. Evaluating Choices:

    • "The probability of the event happening and the probability of the event not happening are the same." This would imply a probability of 0.5 for both, which is not the case here.
    • "The event is unlikely but not impossible." This would imply a probability less than 0.5, which is not the case here.
    • "The event is impossible." This would imply a probability of 0, which is not the case here.
    • "The event is probable but not certain." This would imply a probability less than 1, which is not the case here.
    • "The event is certain." This correctly implies a probability of 1.

  5. Conclusion: The correct choice is "The event is certain."

This problem has been solved

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