Asked by Void<3
An event with probability of 1 is certain to occur.
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1 point
If an event can happen then it has a probability of 1.
Whatever can go wrong, will go wrong.
You cannot win if you do not play.
If an event has a probability of 1, then that event is certain to occur.
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GPT-5 mini
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Correct choice(s): "An event with probability of 1 is certain to occur." (also repeated as "If an event has a probability of 1, then that event is certain to occur.")
Why: probability 1 means the event is (almost) certain. The other options are incorrect:
- "If an event can happen then it has a probability of 1." — false (many possible events have probability < 1).
- "Whatever can go wrong, will go wrong." — Murphy’s law, not a probability fact.
- "You cannot win if you do not play." — a proverb, not a statement about probability = 1.
Note (subtle): in measure-theoretic probability, “probability 1” is called “almost sure” — it occurs with probability 1, though in a theoretical model there can be outcomes of probability 0 where it does not occur. In elementary contexts it is treated as certain.
Why: probability 1 means the event is (almost) certain. The other options are incorrect:
- "If an event can happen then it has a probability of 1." — false (many possible events have probability < 1).
- "Whatever can go wrong, will go wrong." — Murphy’s law, not a probability fact.
- "You cannot win if you do not play." — a proverb, not a statement about probability = 1.
Note (subtle): in measure-theoretic probability, “probability 1” is called “almost sure” — it occurs with probability 1, though in a theoretical model there can be outcomes of probability 0 where it does not occur. In elementary contexts it is treated as certain.
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