Question

27 multiple choice 1 point
p(a) = 8/15
p(b) = 6/15
p(a ∩ b) = 1/5
find p(a ∪ b)
4/15
1/15
2/15
11/15

Explanation:

Step1: Recall the formula for \(P(A\cup B)\)

The formula is \(P(A\cup B)=P(A)+P(B)-P(A\cap B)\)

Step2: Substitute the given values

Given \(P(A)=\frac{8}{15}\), \(P(B)=\frac{6}{15}\), and \(P(A\cap B)=\frac{1}{5}=\frac{3}{15}\)

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Answer:

11/15