What is Probability?
Try using mathematical terminology to explain the results for the following...
Selecting a marble (yellow)
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Spinning a colour (red)
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Get a number combination (12)
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Probability Line
Coin Toss - Heads or Tails
Mathematical Expression
The Problem A coin has two sides: heads and tails. When you flip it, what are the chances it will come up heads? What are the chances it will come up tails?
The Analysis Assuming the coin is not tainted, it has an equal chance of coming up on either side. Therefore, it should come up heads one of every two times or 50%. It should also come up tails one of every two times or 50%.
The Analysis Assuming the coin is not tainted, it has an equal chance of coming up on either side. Therefore, it should come up heads one of every two times or 50%. It should also come up tails one of every two times or 50%.
Ways of Explaining the Results
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A Sweet Experiment
Miss Davies bought a bag of gummies at the Bulk Barn. The gummies are sold by weight. In the bag there were pink, yellow, purple, and turquoise gummies.
1.Is it possible to determine the probability of selecting a pink gummy from the bag? Explain
2. If there are 50 gummies in the bag is it possible to determine the probability of selecting a pink gummy? Explain
3. What if there are 20 turquoise, 15 purple, 13 pink and 2 yellow, can you determine the probability of selecting a pink gummy? Explain.
4. Do any of the coloured gummies have an equal chance of being selected? Explain.
5. What if a second bag is purchased and there are 58 gummies in the bag which includes 18 turquoise, 15 purple, 11 yellow, what is the fraction of selecting a pink gummy from the bag?
6. What if Miss Davies snuck 3 pink gummies and 3 purple gummies for herself before offering the bag to the class... how do the numbers change? Explain.
1.Is it possible to determine the probability of selecting a pink gummy from the bag? Explain
2. If there are 50 gummies in the bag is it possible to determine the probability of selecting a pink gummy? Explain
3. What if there are 20 turquoise, 15 purple, 13 pink and 2 yellow, can you determine the probability of selecting a pink gummy? Explain.
4. Do any of the coloured gummies have an equal chance of being selected? Explain.
5. What if a second bag is purchased and there are 58 gummies in the bag which includes 18 turquoise, 15 purple, 11 yellow, what is the fraction of selecting a pink gummy from the bag?
6. What if Miss Davies snuck 3 pink gummies and 3 purple gummies for herself before offering the bag to the class... how do the numbers change? Explain.
How Many Flies Can Freddy Frog Eat?
Using the probability line, what is the likelihood of getting the fly (bed) in Freddy Frog's mouth?
Now, work with a partner and try tossing the fly (bead) ten times. Keep track of your turns. Report your findings as a fraction out of 10. Record the results as a percent and a decimal. Compare your results with some of your classmates.
Classmates that achieve a score of 70% or greater can have a "frolic with Miss Davies' pet Frog Freddy.
Write the instructions on how to play the probability game, 'Freddy Frog's Fly'.
Now, work with a partner and try tossing the fly (bead) ten times. Keep track of your turns. Report your findings as a fraction out of 10. Record the results as a percent and a decimal. Compare your results with some of your classmates.
Classmates that achieve a score of 70% or greater can have a "frolic with Miss Davies' pet Frog Freddy.
Write the instructions on how to play the probability game, 'Freddy Frog's Fly'.
Welcome to Scam-o-rama
Explain how the girls can make the odd of winning their game in their favour.
How might they change it to make the odds in favour of the contestant?
Explain the odds of winning each of the 3 games shown below.
How might they change it to make the odds in favour of the contestant?
Explain the odds of winning each of the 3 games shown below.
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Using the examples highlighted above, create your own game. Explain the odds of winning.
Sample EQAO Questions
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An Integrated Lesson
Resources
