Understanding Probability Tree Diagrams for Sports Predictions
Explore the concepts of probability tree diagrams through a sports scenario to determine the likelihood of different outcomes for the Yellow and Blue teams. Analyze fractions on branches to calculate probabilities and make predictions based on team scoring patterns.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
You are allowed to download the files provided on this website for personal or commercial use, subject to the condition that they are used lawfully. All files are the property of their respective owners.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author.
E N D
Presentation Transcript
Which Team Will Win? Think back to this previous lesson where we compared frequency trees with a probability tree diagram:
Which Team Will Win? We can rewrite the frequency tree as a probability tree diagram: 16 16 Y 24 24 Y 24 8 B 8 36 24 8 8 Y 12 12 12 B 36 4 B 4 12
Which Team Will Win? What are the differences between the two diagrams? 16 16 Y 24 24 Y 24 8 B 8 36 24 8 8 Y 12 12 12 B 36 4 B 4 12
Which Team Will Win? Where do the fractions come from in the second diagram? 16 16 Y 24 24 Y 24 8 B 8 36 24 8 8 Y 12 12 12 B 36 4 B 4 12
Which Team Will Win? Notice the fractions haven t been cancelled down? What would they be if they were? How does this relate to the dice we used? 16 16 Y 24 24 Y 24 B 8 8 36 24 8 8 Y 12 12 12 B 36 4 B 4 12
Which Team Will Win? We can use the tree diagram to find probabilities by multiplying the fractions on the branches. 2 Y 3 Y 2 B 1 3 3 2 Y 1 3 B 3 B 1 3
Which Team Will Win? On your whiteboards: What is the probability of the Yellow team scoring twice? 2 Y 3 Y 2 B 1 3 3 2 Y 1 3 B 3 B 1 3
Which Team Will Win? On your whiteboards: What is the probability of the Blue team scoring twice? 2 Y 3 Y 2 B 1 3 3 2 Y 1 3 B 3 B 1 3
Which Team Will Win? On your whiteboards: What is the probability of the Yellow team scoring once? Why is this different? 2 Y 3 Y 2 B 1 3 3 2 Y 1 3 B 3 B 1 3
Which Team Will Win? On your whiteboards: What is the probability of the Yellow team scoring at least once? Can you answer this in more than one way? 2 Y 3 Y 2 B 1 3 3 2 Y 1 3 B 3 B 1 3
Here is a partially filled tree diagram What is different about this tree diagram?
Here is a partially filled tree diagram What do you think this tree diagram is about?
Here is a partially filled tree diagram What questions could be asked about this tree diagram? Think of as many as you can and write them on your whiteboards.
