Probability Venn Diagrams - Conditional, Independent and Mutually Exclusive events
Interactive practice questions
Consider the following probability Venn diagram:
A Venn diagram consist of two overlapping circles. The left circle, excluding the overlapping region, is labeled $A$A. The right circle, excluding the overlapping region, is labeled $B$B. The overlapping region contains the bold variable $x$x. Inside circle $A$A but excluding the overlapping region, a number $0.7$0.7 is written. Inside circle $B$B but excluding the overlapping region, a number $0.1$0.1 is written. Outside both circles, positioned near the bottom right of circle $B$B, a number $0.2$0.2 is written.
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: