alleryStart learning →Which statement is true when two events are independent?
AOne always blocks the other
BThey must both be certain
CThey cannot happen at once
DOne does not affect the other
Answer & Solution
Correct answer: D. One does not affect the other
1. Independence is about whether news of one event changes the chance of the other.
2. If knowing that one happened leaves the other chance unchanged, they are independent.
3. Two rolls of a fair die work this way, since the first roll tells you nothing about the second.
4. Events that cannot happen at once are mutually exclusive, which is a separate idea.
_Source: OpenStax High School Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics" and Ch 3 "Probability Topics", section 3.2 Independent and Mutually Exclusive Events_
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