Which Team Will Win? Think back to this previous
Description: 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: 24 12 16 8 8 4 Y B Y Y B B
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slide1. Which Team Will Win? Think back to this previous lesson where we compared frequency trees with a probability tree diagram:<br>
slide2. Which Team Will Win? We can rewrite the frequency tree as a probability tree diagram: 24 12 16 8 8 4 Y B Y Y B B<br>
slide3. Which Team Will Win? What are the differences between the two diagrams? 24 12 16 8 8 4 Y B Y Y B B<br>
slide4. Which Team Will Win? Where do the fractions come from in the second diagram? 24 12 16 8 8 4 Y B Y Y B B<br>
slide5. 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? 24 12 16 8 8 4 Y B Y Y B B<br>
slide6. Which Team Will Win? We can use the tree diagram to find probabilities by multiplying the fractions on the branches. Y B Y Y B B<br>
slide7. Which Team Will Win? On your whiteboards:
What is the probability of the Yellow team scoring twice? Y B Y Y B B<br>
slide8. Which Team Will Win? On your whiteboards:
What is the probability of the Blue team scoring twice? Y B Y Y B B<br>
slide9. Which Team Will Win? On your whiteboards:
What is the probability of the Yellow team scoring once?
Why is this different? Y B Y Y B B<br>
slide10. 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? Y B Y Y B B<br>
slide11. Here is a partially filled tree diagram What is different about this tree diagram?<br>
slide12. Here is a partially filled tree diagram What do you think this tree diagram is about?<br>
slide13. 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.<br>
slide2. Which Team Will Win? We can rewrite the frequency tree as a probability tree diagram: 24 12 16 8 8 4 Y B Y Y B B<br>
slide3. Which Team Will Win? What are the differences between the two diagrams? 24 12 16 8 8 4 Y B Y Y B B<br>
slide4. Which Team Will Win? Where do the fractions come from in the second diagram? 24 12 16 8 8 4 Y B Y Y B B<br>
slide5. 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? 24 12 16 8 8 4 Y B Y Y B B<br>
slide6. Which Team Will Win? We can use the tree diagram to find probabilities by multiplying the fractions on the branches. Y B Y Y B B<br>
slide7. Which Team Will Win? On your whiteboards:
What is the probability of the Yellow team scoring twice? Y B Y Y B B<br>
slide8. Which Team Will Win? On your whiteboards:
What is the probability of the Blue team scoring twice? Y B Y Y B B<br>
slide9. Which Team Will Win? On your whiteboards:
What is the probability of the Yellow team scoring once?
Why is this different? Y B Y Y B B<br>
slide10. 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? Y B Y Y B B<br>
slide11. Here is a partially filled tree diagram What is different about this tree diagram?<br>
slide12. Here is a partially filled tree diagram What do you think this tree diagram is about?<br>
slide13. 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.<br>