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Probability Venn Diagrams - Conditional, Independent and Mutually Exclusive events

Interactive practice questions

Consider the following probability Venn diagram:

A Venn diagram with two overlapping circles is labeled $A$A on the left and $B$B on the right. The intersection of the two circles contains the bold variable $x$x. Inside circle $A$A, it has a value of $0.7$0.7. Inside circle $B$B, it has a value of $0.1$0.1. Outside both circles, positioned near the bottom right of circle $B$B, there is a number with a value of $0.2$0.2.
a

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

b

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

Yes

A

No

B
Easy
1min

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

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

Easy
< 1min

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

Easy
1min

Consider the following probability Venn Diagram:

Easy
1min
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