Answer: Option 'a' is correct.
Step-by-step explanation:
Since we have given that
P(A) = 0.8
P(B|A) = 0.4
Since A and B are independent events.
Since P(B|A) is given, we will use the formula for "conditional probability":
So, [tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\0.4=\dfrac{P(A\cap B)}{0.8}\\\\0.4\times 0.8=P(A\cap B)}\\\\0.32=P(A\cap B)[/tex]
Hence, it is true.
Therefore, Option 'a' is correct.
