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