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If the probability of an event is equal to .2 , What must be true about the event?Group of answer choicesThe event is probable but not certain.The event is certain.The event is impossible.The probability of the event happening and the probability of the event not happening are the same.The event is unlikely but not impossible.

Question

If the probability of an event is equal to .2 , What must be true about the event?Group of answer choicesThe event is probable but not certain.The event is certain.The event is impossible.The probability of the event happening and the probability of the event not happening are the same.The event is unlikely but not impossible.

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Solution

To determine what must be true about the event given that its probability is 0.2, let's analyze the options step by step:

  1. The event is probable but not certain.

    • A probability of 0.2 indicates that the event has a 20% chance of occurring. This is not considered probable, as it is less than 50%.
  2. The event is certain.

    • A probability of 0.2 means there is only a 20% chance of the event occurring. For an event to be certain, its probability must be 1 (or 100%).
  3. The event is impossible.

    • A probability of 0.2 means there is a 20% chance of the event occurring. For an event to be impossible, its probability must be 0.
  4. The probability of the event happening and the probability of the event not happening are the same.

    • If the probability of the event happening is 0.2, the probability of the event not happening is 1 - 0.2 = 0.8. These probabilities are not the same.
  5. The event is unlikely but not impossible.

    • A probability of 0.2 indicates that the event is unlikely (since it is less than 50%) but not impossible (since it is greater than 0%).

Based on the analysis, the correct choice is: The event is unlikely but not impossible.

This problem has been solved

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