If P(A) = 0.3, P(B) = 0.5, and P(A ∩ B) = 0.1, what is P(A | B)?a.0.2b.0.3c.0.5d.0.6
Question
If P(A) = 0.3, P(B) = 0.5, and P(A ∩ B) = 0.1, what is P(A | B)?a.0.2b.0.3c.0.5d.0.6
Solution
The probability of event A given event B, denoted as P(A | B), is calculated using the formula:
P(A | B) = P(A ∩ B) / P(B)
Given that P(A ∩ B) = 0.1 and P(B) = 0.5, we can substitute these values into the formula:
P(A | B) = 0.1 / 0.5 = 0.2
So, the correct answer is a. 0.2.
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