Answer:
Final answer is [tex]P(B|A) = 0.25[/tex].
Step-by-step explanation:
We have been given values of
P(A) = 0.40, P(B) = 0.50, and P(A and B) = 0.10
Now we need to find about what is the value of P(B/A).
Apply formula [tex]P (A \, and \, B)=P(A) \times P(B|A)[/tex]
Plug the given values into above formula:
[tex]P (A \, and \, B)=P(A) \times P(B|A)[/tex]
[tex]0.10 =0.40 \times P(B|A)[/tex]
[tex]\frac{0.10}{0.40} =P(B|A)[/tex]
[tex]0.25 =P(B|A)[/tex]
[tex]P(B|A) = 0.25[/tex]
Hence final answer is [tex]P(B|A) = 0.25[/tex].
