New Zealand
Level 8 - NCEA Level 3

# Independent Events

## Interactive practice questions

A coin is tossed twice.

a

Construct a tree diagram showing the results of the given experiment.

b

Use the tree diagram to find the probability of getting exactly 1 Head.

c

Use the tree diagram to find the probability of getting 2 heads.

d

Use the tree diagram to find the probability of getting no heads.

e

Use the tree diagram to find the probability of getting 1 Head and 1 Tail.

Easy
Approx 2 minutes

An archer makes two attempts to hit a target, and the probability that he hits the target on any one attempt is $\frac{1}{3}$13.

What is the probability that the archer will miss the target on both attempts?

An experiment is conducted in which a coin is tossed three times.

A bag contains four marbles - red, green, blue and yellow. Beth randomly selects a marble, returns the marble to the bag and selects another marble.

### 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