**Driving Question:**When is probability used in the real world?

**Learning Target:**To use probability to solve puzzles.

**Success Criteria**

*Beginning*

To demonstrate calculating the probability of single events.

*Developing*

To demonstrate calculating the probability of two equally likely events happening at once.

Mastering

To investigation calculating the probability of multiple events.

To investigation calculating the probability of multiple events.

**Resources**

**Beginning**

**B1**

Simple probability examples:

Stick on Maths - Probability (open in Keynote)

**B5**

**B4**

**B5**

Stick on Maths - Probabilities add to 1 (open in Keynote)

**B6**

**Developing**

**D1**

**D2**

CIMT: The Probability of Two Events (Sample Space Q1-5 and Tree Diagrams Q6-17)

**D3**Probability Spaces (from Ten Ticks, 6, 6, pages 38-9)*

**D3**

**Mastering**

M1

M1

**M2**

**M6**

**Question 1**

A bag contains 3 black and 6 white counters. One counter is drawn

**and then replaced**. A second counter is then drawn.

a) Draw a tree diagram to represent this, find the probability of each outcome.

b) What is the probability of:

i) Both counters being black;

ii) At least one white;

iii) one white and one black.

**Question 2**

A bag contains 3 black and 6 white counters. One counter is drawn

**but not replaced**. A second counter is then drawn.

a) Draw a tree diagram to represent this, find the probability of each outcome.

b) What is the probability of:

i) Both counters being black;

ii) At least one white;

iii) one white and one black.