Consider the following probability Venn diagram:

Calculate the value of $x$x in the diagram. Enter your answer as an equation in $x$x.

Are events $A$A and $B$B mutually exclusive?

Yes

No

Two events $A$A and $B$B are such that:

$P\left(A\cap B\right)=0.02$P(A∩B)=0.02 and $P\left(A\right)=0.2$P(A)=0.2.

Two events $A$A and $B$B are such that $P\left(A\cap B\right)=0.1$P(A∩B)=0.1 and $P\left(A\right)=0.5$P(A)=0.5.

Calculate $P\left(B\right)$P(B) if events $A$A and $B$B are independent.

Consider the following probability Venn Diagram: