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6.4 probability                                        January 06, 2012




                                   Warm Up
                                   1 ­ 3
                                       8

                                    1 ­  6
                                        11

                        Objective: finding probability and odds




HW pg. 308 #3­30 mult of 3                                                1
6.4 probability                                                              January 06, 2012




      Outcomes ­ possible results of an action.  There are six 
      outcomes for rolling a single number cube:  1, 2, 3, 4, 5, 6.


      An event is any outcome or group of outcomes.  The outcomes are called favorable 
      outcomes.  In rolling two number cubes, for example, rolling a sum of 4 is an event 
      corresponding to three favorable outcomes shown here. 




      Probability of an event = P(event) =  number of favorable outcomes
                                            number of possible outcomes




HW pg. 308 #3­30 mult of 3                                                                      2
6.4 probability                                                     January 06, 2012




      Find P(even number) with one number cube.




             All probabilities range from 0 to 1.

             0                      0.5                  1
      Impossible event                              Certain Event




HW pg. 308 #3­30 mult of 3                                                             3
6.4 probability                                                                             January 06, 2012




    Complement ­ is the opposite of an event.

    In the United States, the probability that a child is a twin is 2 in 90, or   2 .  Find P(not a twin).
                                                                                         90




HW pg. 308 #3­30 mult of 3                                                                                     4
6.4 probability                                          January 06, 2012




       Probability ­ ratio of  part
                              whole
       Odds ­ ratio of part
                     part

                        number of favorable outcomes
        odds in favor = number of unfavorable outcomes

        odds against = number of unfavorable outcomes
                        number of favorable outcomes




HW pg. 308 #3­30 mult of 3                                                  5
6.4 probability                                                             January 06, 2012




       You draw a name at random from a hat holding the names of 6 girls and 8 boys.  
       What are the odds in favor of choosing a boy?




HW pg. 308 #3­30 mult of 3                                                                     6
6.4 probability                                  January 06, 2012




    HW
                   pg
                      . 30
                             8 #
                                 3­3
                                       0 m
                                          ult.
                                               of 
                                                  3




HW pg. 308 #3­30 mult of 3                                          7

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6.4 notes

  • 1. 6.4 probability January 06, 2012 Warm Up 1 ­ 3 8 1 ­  6 11 Objective: finding probability and odds HW pg. 308 #3­30 mult of 3 1
  • 2. 6.4 probability January 06, 2012 Outcomes ­ possible results of an action.  There are six  outcomes for rolling a single number cube:  1, 2, 3, 4, 5, 6. An event is any outcome or group of outcomes.  The outcomes are called favorable  outcomes.  In rolling two number cubes, for example, rolling a sum of 4 is an event  corresponding to three favorable outcomes shown here.  Probability of an event = P(event) =  number of favorable outcomes number of possible outcomes HW pg. 308 #3­30 mult of 3 2
  • 3. 6.4 probability January 06, 2012 Find P(even number) with one number cube. All probabilities range from 0 to 1. 0 0.5 1 Impossible event Certain Event HW pg. 308 #3­30 mult of 3 3
  • 4. 6.4 probability January 06, 2012 Complement ­ is the opposite of an event. In the United States, the probability that a child is a twin is 2 in 90, or   2 .  Find P(not a twin).                            90 HW pg. 308 #3­30 mult of 3 4
  • 5. 6.4 probability January 06, 2012 Probability ­ ratio of  part     whole Odds ­ ratio of part      part number of favorable outcomes odds in favor = number of unfavorable outcomes odds against = number of unfavorable outcomes number of favorable outcomes HW pg. 308 #3­30 mult of 3 5
  • 6. 6.4 probability January 06, 2012 You draw a name at random from a hat holding the names of 6 girls and 8 boys.   What are the odds in favor of choosing a boy? HW pg. 308 #3­30 mult of 3 6
  • 7. 6.4 probability January 06, 2012 HW  pg . 30 8 #  3­3 0 m ult.  of  3 HW pg. 308 #3­30 mult of 3 7