New Zealand
Level 7 - NCEA Level 2

# Venn Diagrams and Two Way Tables

## Interactive practice questions

We are interested in the colour of a card randomly drawn from a standard deck. Which Venn diagram illustrates this?

A

B

A

B
Easy
Less than a minute

A group of people were randomly selected and asked which modes of transport they used to get to work. Only two such modes were mentioned in their responses.

Some people were asked what form of exercise they do.

In a survey of $31$31 students, it was found that $16$16 students play tennis and $14$14 students play hockey. $2$2 students play none of these sports, $8$8 play both tennis and cricket, $7$7 play both cricket and hockey, $6$6 play both tennis and hockey and $3$3 play all three.

### Outcomes

#### S7-4

S7-4 Investigate situations that involve elements of chance: A comparing theoretical continuous distributions, such as the normal distribution, with experimental distributions B calculating probabilities, using such tools as two-way tables, tree diagrams, simulations, and technology.

#### 91267

Apply probability methods in solving problems