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Question
- how do you calculate the probability of two independent events occurring together?
a. divide their probabilities
b. multiply their probabilities
c. add their probabilities
d. subtract their probabilities
For two independent events \(A\) and \(B\), the probability that both \(A\) and \(B\) occur is given by the formula \(P(A\cap B)=P(A)\times P(B)\). This is based on the definition of independent events in probability theory. When events are independent, the occurrence of one does not affect the probability of the occurrence of the other. So we multiply their individual probabilities.
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B. Multiply their probabilities