Respuesta :

P (E intersect F) refers to the probability of both events E and F happening at the same time. But since we are told that the events are mutually exclusive, it means that they cannot both occur simultaneously.

Therefore P (E intersect F) = 0
Given that these two events are mutually exclusive, there's no any relation between them, so:

[tex]P(E\cap F) = P(E)P(F)[/tex]

Then, the probability for this problem is given by:

[tex]P(E\cap F) = (0.4)(0.2)=0.08[/tex]