Answer:
0.4
Step-by-step explanation:
Use the formula for conditional probability.
P(B|A) = P(A&B)/P(A) = 0.20/0.50 = 0.4
Answer: P(B/A) = 0.40.
Step-by-step explanation: For any two events A and B, given that
[tex]P(A)=0.50,~~P(B)=0.80,~~P(A\cap B)=0.20.[/tex]
We are to find the conditional probability of happening of event B given event A has already happened.
That is,
[tex]P(B/A)=?[/tex]
From the formula for conditional probability, we have
[tex]P(B/A)=\dfrac{P(B\cap A)}{P(A)}\\\\\\\Rightarrow P(B/A)=\dfrac{P(A\cap B)}{P(A)}\\\\\\\Rightarrow P(B/A)=\dfrac{0.20}{0.50}\\\\\\\Rightarrow P(B/A)=0.40.[/tex]
Thus, P(B/A) = 0.40.
