If A and B are independent events, with P(A) = 0.50 and P(B) = 0.70, then the probability that A occurs or B occurs or both occur is:Group of answer choices0.10.0.20.1.20.0.85.
Question
If A and B are independent events, with P(A) = 0.50 and P(B) = 0.70, then the probability that A occurs or B occurs or both occur is:Group of answer choices0.10.0.20.1.20.0.85.
Solution
The probability that A occurs or B occurs or both occur is given by the formula P(A U B) = P(A) + P(B) - P(A ∩ B).
Since A and B are independent, the probability of both A and B occurring (P(A ∩ B)) is the product of their individual probabilities, i.e., P(A) * P(B) = 0.50 * 0.70 = 0.35.
Substituting these values into the formula, we get:
P(A U B) = P(A) + P(B) - P(A ∩ B) = 0.50 + 0.70 - 0.35 = 0.85.
So, the probability that A occurs or B occurs or both occur is 0.85.
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