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Ratios and Probability  ,[object Object]
Why I chose this topic :) ,[object Object],[object Object],[object Object]
Essential  Question :  How can Ratios be used to find the probability of a specific outcome of an event? ,[object Object],[object Object]
What is a Ratio? ,[object Object],[object Object],Ratios have been around for a long time.  Early translators think this word may have been latin, a ratio meaning reason (as in rational). A ratio is a comparison of two numbers using division (part to part or part to whole) A:B Ratios are often expressed in equations and number sentences like this
What is Probability? ,[object Object],[object Object],Probability is a way of expressing knowledge about what will happen or what happened with different variables and various outcomes. Probability is used mainly in these areas of study; Finance, gambling, mathematics, statistics, science and philosophy. But Probability is only a follow up or a branch of mathematics
Probabilities and Ratios their uses ,[object Object],[object Object],[object Object]
Probabilities and  Ratios  their uses (continued) ,[object Object],[object Object],[object Object]
Probabilities and Ratios used together ,[object Object],[object Object],[object Object]
Experiments Conducted Number of One’s rolled)xxxxxxx:7 Number of Two’s rolled)xxxxxx:6 Number of Three’s rolled)xxxxx:5 Number of Four’s rolled)xxxxxx:6 Number of Five’s rolled)xxxxxxx:7 Number of Six’s rolled)xxxxx:5 Ratio of Outcomes:    7:6:5:6:7:5 rolled 36 times The Ratio of Rolling a 1 is 1:6 The Ratio of Rolling a 2 is 1:6 The Ratio of Rolling a 3 is 1:6 The Ratio of Rolling a 4 is 1:6 The Ratio of Rolling a 5 is 1:6 The Ratio of Rolling a 6 is 1:6 For Example  there is 1 die and 6 sides: There are 6 possible outcomes Face of Dice Number of times rolled 1 7 2 6 3 5 4 7 5 6 6 5
Experiments Conducted For example  there are 10 fur balls in a cup Red and Yellow   there are 2 different colors of marbles. Average Ratio:  2:3 Red 2:3 Yellow The estimated amount of yellow fur balls in the cup is 6 The estimated amount of red fur balls in the cup is 4 The probability of picking a Yellow fur ball is 6 out of 10 times The probability of picking a Red fur ball is 4 out of 10 times ,[object Object],[object Object],[object Object],[object Object],[object Object],Red  Yellow Ratio Trial 1 3 2 3:2 Trial 2 2 3 2:3 Trial 3 2 3 2:3
Classroom activity Now we will conduct an experiment/roll a dice :)  ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Bibliography  ,[object Object],[object Object],[object Object],[object Object],[object Object]
Thank you for watching my presentation

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Sky math challenge 7H

  • 1.
  • 2.
  • 3.
  • 4.
  • 5.
  • 6.
  • 7.
  • 8.
  • 9. Experiments Conducted Number of One’s rolled)xxxxxxx:7 Number of Two’s rolled)xxxxxx:6 Number of Three’s rolled)xxxxx:5 Number of Four’s rolled)xxxxxx:6 Number of Five’s rolled)xxxxxxx:7 Number of Six’s rolled)xxxxx:5 Ratio of Outcomes:    7:6:5:6:7:5 rolled 36 times The Ratio of Rolling a 1 is 1:6 The Ratio of Rolling a 2 is 1:6 The Ratio of Rolling a 3 is 1:6 The Ratio of Rolling a 4 is 1:6 The Ratio of Rolling a 5 is 1:6 The Ratio of Rolling a 6 is 1:6 For Example there is 1 die and 6 sides: There are 6 possible outcomes Face of Dice Number of times rolled 1 7 2 6 3 5 4 7 5 6 6 5
  • 10.
  • 11.
  • 12.
  • 13. Thank you for watching my presentation