What does a probability of 0 indicate about an event?
AThe event is certain to happen
BThe event cannot happen at all
CThe event happens half the time
DThe event has no sample space
Answer & Solution
Correct answer: B. The event cannot happen at all
1. Every probability sits between 0 and 1, inclusive of both endpoints.
2. The lower endpoint, 0, marks an impossible event.
3. The upper endpoint, 1, marks an event certain to occur.
4. A value of one half would mean the event happens about half the time, so it sits in the middle of the scale rather than at 0.
_Source: OpenStax Algebra and Trigonometry (CC BY 4.0), Ch 13 "Sequences, Probability and Counting Theory", section 13.7 Probability_
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