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CanadaON
Grade 12

Probability Venn diagrams - Conditional, independent and mutually exclusive events

Interactive practice questions

Consider the following probability Venn diagram:

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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Outcomes

12D.A.1.6

Determine whether two events are independent or dependent and whether one event is conditional on another event, and solve related probability problems using a variety of strategies

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