Answer:
Final answer is [tex]P(B|A)=0.40[/tex].
Step-by-step explanation:
Given that P(A)= .50, P(B)=.80 , and P(A and B)=.20.
Now we need to find about what is the value of P(B/A).
So apply the formula of compound probability :
P(A and B) = P(A)*P(B/A)
Plug the given values into above formula
0.20 = 0.50*P(B/A)
0.50*P(B/A) = 0.20
[tex]P(B|A)=\frac{0.20}{0.50}[/tex]
[tex]P(B|A)=0.40[/tex]
Hence final answer is [tex]P(B|A)=0.40[/tex].
