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Which expression is the multiplication rule for two events A and B?
AP(A and B) = P(A) + P(B) minus P(B)
BP(A and B) = P(B) divided by P(A given B)
CP(A and B) = P(B) times P(A given B)
DP(A and B) = P(A) times P(B) always
Answer & Solution
Correct answer: C. P(A and B) = P(B) times P(A given B)
1. The word and points to the intersection of the two events.
2. The general rule is P(A and B) equal to P(B) times P(A given B).
3. The product of the plain probabilities only works when the events are independent, so it is not the general rule.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 3 "Probability Topics", section 3.3 Two Basic Rules of Probability_
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