Answer: The value of P(A∩B) = 0.22.
Step-by-step explanation:
Since we have given that
P(A | B)=0.55
P(B)=0.4
and A and B are dependent events.
And we know the rule for "Conditional probability":
So,
[tex]P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}\\\\0.55=\dfrac{P(A\mid B)}{0.4}\\\\0.55\times 0.4=P(A\cap B)\\\\0.22=P(A\cap B)[/tex]
Hence, the value of P(A∩B) = 0.22.
