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Question
In Question 64 above, P(B|A′) is equal to ______.
Options
`1/5`
`3/10`
`1/2`
`3/5`
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Solution
In Question 64 above, P(B|A′) is equal to `3/5`.
Explanation:
We have
P(B) = `3/5`
P(A|B) = `1/2`
P(A ∪ B) = `4/5`
P(B|A') = `("P"("B" ∩ "A'"))/("P"("A'"))`
= `("P"("B") - "P"("A" ∩ "B"))/(1 - "P"("A"))`
= `(3/5 - 3/10)/(1 - 1/2)`
= `(3/10)/(1/2)`
= `3/5`
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