If A and B are mutually exclusive events, with P(A) = 0.30 and P(B) = 0.40, then P(A ∪ B) is:Group of answer choices0.10.0.70.None of these choices are correct.0.12.
Question
If A and B are mutually exclusive events, with P(A) = 0.30 and P(B) = 0.40, then P(A ∪ B) is:Group of answer choices0.10.0.70.None of these choices are correct.0.12.
Solution
The probability of either event A or event B occurring (P(A ∪ B)) for mutually exclusive events is given by the sum of their individual probabilities. This is because mutually exclusive events cannot occur at the same time.
So, P(A ∪ B) = P(A) + P(B) = 0.30 + 0.40 = 0.70.
Therefore, P(A ∪ B) is 0.70.
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