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Match or no Match.notebook                              April 04, 2013


     AIM: Compound Events


                                Do Now

     1.)  Find the simple interest if you borrow $400 at a 
     rate of 20%, for 2 years.  [ I = prt ]


      2.) Simplify the following by distributing:    
                                              b.)
        a.)   -12(x - 3)




                                                                         1
Match or no Match.notebook                                                            April 04, 2013




                            MATCH OR NO MATCH

        How do you play the game?

                                                          BAG 1: 2 Blue tiles, 1 Red tile

                                                          BAG 2: 2 Blue tiles, 2 Red tiles
       How you play the game:
                                                          BAG 3:  3 Blue tiles, 1 red tile
       • In each turn you draw two tiles from the bag. 
       • If you get a match, player A gets a point.  
       • If no match is made, player B gets a point.  




                                                                                                       2
Match or no Match.notebook                                       April 04, 2013




                    MATCH OR NO MATCH

                             BAG 1: 2 Blue tiles, 1 Red tile

                             BAG 2: 2 Blue tiles, 2 Red tiles

                             BAG 3:  3 Blue tiles, 1 red tile




     PREDICTIONS: 

     1.) Decide which bag is least fair and explain your reasoning.




     2.) Decide which bag is most fair explain your reasoning.




                                                                                  3
Match or no Match.notebook                                     April 04, 2013




                     MATCH OR NO MATCH

       Let’s Play:

       1.) Decide who will be player A and who will be player B.

       Player A:  _________________

       Player B:  _________________



       Scoring: 

       Match – Player A gets a point

       NO Match – Player B gets a point




                                                                                4
Match or no Match.notebook                                    April 04, 2013




     DIRECTIONS: 

     Draw two tiles and record a tally mark to show whether you got a 
     “match” or “no match.”  Take 20 samples this way. Repeat for each 
     bag.




                                                                               5
Match or no Match.notebook                               April 04, 2013

                             Class Results
             Bag 1               Bag 2            Bag 3
         Match   No Match    Match   No Match   Match   No Match




                                                                          6
Match or no Match.notebook                                                     April 04, 2013


            Probability of Dependent Compound Events

           Bag 1:                       Bag 2:                    Bag 3:
       2 blue, 1 red            2 blue, 2 red                  3 blue, 1 red

       Match                            Match                     Match
    P(b) and p(b)            P(b) and p(b)
                                             + P(r) and p(r)   P(b) and p(b)




      No Match                      No Match                       No Match




                                                                                                7
Match or no Match.notebook   April 04, 2013




                                              8
Match or no Match.notebook                  April 04, 2013




                             Homework


                   Prepare for tomorrow's
                   Probability Quiz




                                                             9

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Match or no Match game probabilities

  • 1. Match or no Match.notebook April 04, 2013 AIM: Compound Events Do Now 1.)  Find the simple interest if you borrow $400 at a  rate of 20%, for 2 years.  [ I = prt ] 2.) Simplify the following by distributing:     b.) a.) -12(x - 3) 1
  • 2. Match or no Match.notebook April 04, 2013 MATCH OR NO MATCH How do you play the game? BAG 1: 2 Blue tiles, 1 Red tile BAG 2: 2 Blue tiles, 2 Red tiles How you play the game: BAG 3:  3 Blue tiles, 1 red tile • In each turn you draw two tiles from the bag.  • If you get a match, player A gets a point.   • If no match is made, player B gets a point.   2
  • 3. Match or no Match.notebook April 04, 2013 MATCH OR NO MATCH BAG 1: 2 Blue tiles, 1 Red tile BAG 2: 2 Blue tiles, 2 Red tiles BAG 3:  3 Blue tiles, 1 red tile PREDICTIONS:  1.) Decide which bag is least fair and explain your reasoning. 2.) Decide which bag is most fair explain your reasoning. 3
  • 4. Match or no Match.notebook April 04, 2013 MATCH OR NO MATCH Let’s Play: 1.) Decide who will be player A and who will be player B. Player A:  _________________ Player B:  _________________ Scoring:  Match – Player A gets a point NO Match – Player B gets a point 4
  • 5. Match or no Match.notebook April 04, 2013 DIRECTIONS:  Draw two tiles and record a tally mark to show whether you got a  “match” or “no match.”  Take 20 samples this way. Repeat for each  bag. 5
  • 6. Match or no Match.notebook April 04, 2013 Class Results Bag 1 Bag 2 Bag 3 Match No Match Match No Match Match No Match 6
  • 7. Match or no Match.notebook April 04, 2013 Probability of Dependent Compound Events Bag 1: Bag 2: Bag 3: 2 blue, 1 red 2 blue, 2 red 3 blue, 1 red Match Match Match P(b) and p(b) P(b) and p(b) + P(r) and p(r) P(b) and p(b) No Match No Match No Match 7
  • 8. Match or no Match.notebook April 04, 2013 8
  • 9. Match or no Match.notebook April 04, 2013 Homework Prepare for tomorrow's Probability Quiz 9