Question 872615: Which of the following is NOT true?
A. If an event cannot possibly occur, then the probability of the event is a negative number.
B. If only two outcomes are possible for an experiment, then the sum of the probabilities of
the outcomes is equal to 1.
C. If events A and B are mutually exclusive events, then P(A Ç B) = 0.
D. A probability must be less than or equal to 1.
Thank you so much!
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Which of the following is NOT true?
A. If an event cannot possibly occur, then the probability of the event is a negative number.
This is false because if something can't occur (and it's guaranteed it can't), then the probability is 0. If p is a probability, then 0 <= p <= 1.
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B. If only two outcomes are possible for an experiment, then the sum of the probabilities of the outcomes is equal to 1.
This is true. All probabilities must add to 1. So cross it off the list since we want things that are not true.
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C. If events A and B are mutually exclusive events, then P(A Ç B) = 0.
I think you meant to write P(A ∩ B) = 0. If so, then this is true if events A and B are mutually exclusive events. So just like we did with choice B, cross it off the list.
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D. A probability must be less than or equal to 1.
The probability must also be greater than or equal to 0. In other words, 0 <= p <= 1. Choice D isn't 100% true because it's missing crucial info, so I'd say it's false.
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So the answers are A and D.
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