New Zealand
Level 8 - NCEA Level 3

# 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

Yes

A

No

B
Easy
Approx a minute

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.

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.

Consider the following probability Venn Diagram:

### Outcomes

#### S8-4

Investigate situations that involve elements of chance: A calculating probabilities of independent, combined, and conditional events B calculating and interpreting expected values and standard deviations of discrete random variables C applying distributions such as the Poisson, binomial, and normal

#### 91585

Apply probability concepts in solving problems