QUESTION IMAGE
Question
which word is associated with multiplication when computing probabilities?
choose the correct answer below.
or
and
not
disjoint
In probability, when we want to find the probability of two events \(A\) and \(B\) both occurring (the event \(A\cap B\)), we use the multiplication rule. If \(A\) and \(B\) are independent events, \(P(A\cap B)=P(A)\times P(B)\). The word "And" is used to describe the situation of both events happening simultaneously.
The word "Or" is associated with the addition rule (\(P(A\cup B) = P(A)+P(B)-P(A\cap B)\) for non - disjoint events). The word "Not" is related to the complement rule (\(P(\overline{A})=1 - P(A)\)). The term "Disjoint" means \(A\cap B=\varnothing\) and \(P(A\cap B) = 0\) for disjoint events.
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B. And