New Zealand
Level 8 - NCEA Level 3

# Estimating probabilities

## Interactive practice questions

Of $3000$3000 students graduating as teachers from a particular university, $8%$8% graduate as Mathematics teachers.

a

How many graduated as Mathematics teachers from this university?

b

In the country, there are $6900$6900 new graduate teachers. How many are likely to be Mathematics teachers?

Easy
Approx a minute

Of $50$50 people buying coffee at a cafe, $39$39 bought a latte.

A six-sided die is rolled $1500$1500 times. The number $2$2 appears uppermost $700$700 times.

A random number generator generates the digits from $1$1 to $9$9, each with equally likely probability.

The number $7$7 is generated $45$45 times.

### 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

#### 91586

Apply probability distributions in solving problems