1. Probability Simple Probability

2.  The _________ of an event is a number between 0 and 1 that indicates the likelihood the even will occur.  An even that is certain to happen has a probability of ___.  An event that cannot occur has a probability of ___.  An event that is equally likely to occur or not occur has a probability of _____.  There are two types of probability ______________ and ______________. Theoretical and Experimental Probability probability 1 0 1/2 theoretical experimental

3.  When all outcomes are equally likely, the _____________ ____________ that an event A will occur is:  The theoretical probability of an event is often simply called the ____________ of the event. Theoretical Probability probability theoretical Number of outcomes in A theoretical Total number of outcomes probability

4. 1.You roll a six-sided die whose sides are numbered from 1 to 6. Find the probability of a.Rolling a 4 Probability Examples # of ways to roll a 4 # of ways to roll the dice 1 6

5. 1.You roll a six-sided die whose sides are numbered from 1 to 6. Find the probability of b.Rolling an odd number Probability Examples # of ways to roll a odd # of ways to roll the dice 3 6 1 2

6. 1.You roll a six-sided die whose sides are numbered from 1 to 6. Find the probability of c.Rolling a number less than 7 Probability Examples # of ways to less than 7 # of ways to roll the dice 6 6 1

7.  You can express a probability as a fraction, a decimal, or a percent. For instance, in part (b) of Example 1 the probability of rolling an odd number can be written as ________, ________, ________ Probability Examples 1/2 0.5 50%

8.  Sometimes it is not possible or convenient to find the theoretical probability of an event. In such cases you may be able to calculate an _______________ _______________ by performing an experiment, conducting a survey, or looking at the history of the event. Experimental Probability experimental probability

9. 1.In 1998 a survey asked Internet uses for their ages. The results are shown in the bar graph. Find the experimental probability that a randomly selected Internet user is a.At most 20 years old Experimental Examples # of people surveyed # under age 20 Internet Users Age (years) # of Users Under 211636 21-406617 41-603693 61-80491 Over 806 1636 1636+6617+3693+491+6

10. 1.In 1998 a survey asked Internet uses for their ages. The results are shown in the bar graph. Find the experimental probability that a randomly selected Internet user is b.At least 41 years old Experimental Examples Internet Users Age (years) # of Users Under 211636 21-406617 41-603693 61-80491 Over 806 # of people surveyed # at least 40 3693+491+6 1636+6617+3693+491+6

11.  You throw a dart at the board shown. Your dart is equally likely to hit any point inside the square board. Are you more likely to get 10 points or zero points. Geometric Probability Area of smallest circle Area of entire board Area outside largest circle Area of entire board

12.  You have recorded a 2 hour movie at the beginning of a videocassette that has 6 hours of recording time. Starting at a random location on the videocassette, your brother records a 30 minute television show. What is the probability that your brother’s television show accidentally records over your part of the movie? Geometric Probability 0 6 movie Length where show will record over Length where show will fit