Option: a is the correct answer.
P(A∩B)=0.36
We are given two events A and B such that:
P(A)=0.4
and P(B)=0.9
As we know that when two events A and B are independent then, we have:
[tex]P(A\bigcap B)=P(A)\times P(B)[/tex]
Hence, we have that:
[tex]P(A\bigcap B)=0.4\times 0.9\\\\\\i.e.\\\\\\P(A\bigcap B)=0.36[/tex]
Hence, option: a is correct.
a.) 0.36