Question

In Question 64 above, P(B|A′) is equal to ______.

Options

• `1/5`

• `3/10`

• `1/2`

• `3/5`

Answer 1

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`