In probability 2 events are independent if the occurrence of 1 event does not affect the occurrence of the other event. Mathematically, if event A and event B are independent, then [tex]P(A\&B)=P(A)\times P(B)[/tex]. For our two events in this problem we have that [tex]P(A)=0.25[/tex] and [tex]P(B)=0.40[/tex]. If these two events are independent, then we should have that,
[tex]P(A\&B)=P(A)\times P(B)\\P(A\times B)=0.25\times 0.4=0.1.[/tex]
.A and B are independent events if the probability of A and B is 0.1
