##### Purpose

To investigate conditional probability in the context of the game Yahtzee.

##### Curriculum Connections

##### Year 9

- List all outcomes for two-step chance experiments, both with and without replacement using tree diagrams or arrays. Assign probabilities to outcomes and determine probabilities for events (ACMSP225)
- Calculate relative frequencies from given or collected data to estimate probabilities of events involving ‘and’ or ‘or’ (ACMSP226)

##### Year 10

- Describe the results of two- and three-step chance experiments, both with and without replacements, assign probabilities to outcomes and determine probabilities of events. Investigate the concept of independence. (ACMSP246)
- Use the language of ‘if ….then, ‘given’, ‘of’, ‘knowing that’ to investigate conditional statements and identify common mistakes in interpreting such language. (ACMSP247)

##### At the end of this lesson students should be able to answer the following questions

- What do the words ‘independent’ and ‘dependent’ mean in relation to probability?
- What is the meaning of ‘conditional’ in relation to probability?
- Can you describe events in terms of ‘and’ and ‘or’? How does this help you when calculating probabilities?
- How could you change the rules to make it easier?
- How could you calculate the probabilities of other desired outcomes in the game?
- Does calculating these probabilities change the way you would play the game/help you with strategies?
- What strategies wold you use when playing the game?

*For more information, please download the attached lesson plan and power point with notes on each slide*.

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