Making Predictions Based On Theoretical Probability

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					Making Predictions Based On
Theoretical Probability

     We are learning to…find theoretical
 probability and then make a prediction based
               on the probability.

           Sunday, April 28, 2013
                                                              ¼        ¼
           What is the theoretical                           Yellow    Blue
           probability of spinning a yellow?                     ½       ½
                                                                         Red
                                                             Green    Blue ¼
                                                              ¼
     The probability of spinning a yellow is
     ¼…because ¼ of the spinner is yellow.

 If you would spin the spinner 100 times how many times would
                    you expect to get yellow?


Probability of spinning 1
                                Number of times spinning yellow       1 25
     yellow is…                                                   So…
                        4       Total number of times spinning        4 25
                               25    If you spin the spinner 100 times you
                                   would expect to have the result of yellow
                                                    25 times.
                              100
                                                            ¼        ¼
           What is the theoretical                         Yellow    Blue
           probability of spinning a red                     ½         ½
                                                                       Red
                                                                            1/
                                                                              8
                                                           Green    Blue ¼
The probability of spinning a red is                        ¼        1/
1/ …because 1/ of the spinner is red.                                  8
  8              8



If you would spin the spinner 1000 times how many times would
                     you expect to get red?


Probability of spinning 1
                            Number of times spinning red         1 125
       red is…                                               So…
                        8   Total number of times spinning       8 125
                          125    If you spin the spinner 1000 times you
                               would expect to have the result of red 125
                                                  times.
                         1000
                                                                     1/
                                                             ¼        ¼8
           What is the theoretical                          Yellow     Blue
                                                                            1/
           probability of spinning a blue                                     8

                                                                        Red
                                                                              1/
                                                         Green                  8
        1 1 2 1 3                                                    Blue
                                                      ¼           1/
        4 8 8 8 8                                                       8

The probability of spinning a blue is
3/ …because 3/ of the spinner is blue.
  8              8

 If you would spin the spinner 800 times how many times would
                     you expect to get blue?

Probability of spinning 3
                            Number of times spinning blue         3 100
      blue is…                                                So…
                        8   Total number of times spinning        8 100
                          300     If you spin the spinner 800 times you
                               would expect to have the result of blue 300
                                                  times.
                          800
          Group Practice
     In an experiment Yolanda is rolling a number cube and
      spinning a spinner with the number 2, 5, 8, and 11. She
      then finds the sum of the two results.
                                           2   5


                                           8   11



Step 1: With your group create a Tree Diagram or Area Model that could be
used to find all the possible outcomes of this experiment.
Step 2: Then with your group find the Theoretical Probability of several
different events and predict the number of outcomes for that event.

Step 3: Finally show your teacher your solutions to move on to your homework
assignment.

				
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