9-2 Experimental Probability Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

9-2 Experimental Probability Warm Up 1. A jar contains 6 red, 8 blue, and 10 white marbles. Would you be more likely to pull out a red or a blue marble? Determine if the event is impossible, unlikely, as likely as not, likely, or certain. 2. Attendance at a city council meeting is at 100%. Mr. Lloyd is a council member. How likely is it that Mr. Lloyd is at the meeting? blue certain

9-2 Experimental Probability Problem of the Day The probability of Liana making a free throw was If she made 24 of her free throws, how many did she miss?

9-2 Experimental Probability MA.7.P.7.2 Determine, compare, and make predictions based on experimental…probability… Sunshine State Standards

9-2 Experimental Probability Vocabulary experimental probability

9-2 Experimental Probability Experimental probability is one way of estimating the probability of an event. The experimental probability of an event is found by comparing the number of times an event occurs to the total number of trials. The more trials you have, the more accurate the estimate is likely to be.

9-2 Experimental Probability

9-2 Experimental Probability During skating practice, Sasha landed 7 out of 12 jumps. What is the experimental probability that she will land her next jump? Additional Example 1: Sports Application P(event)  number of times an event occurs total number of trials Substitute data from the experiment = The experimental probability that Sasha will land her next jump is number of jumps landed number of jumps attempted P(jumps landed) 

9-2 Experimental Probability “P(event)” represents the probability that an event will occur. For example, the probability of a flipped coin landing heads up could be written as “P(heads).” Writing Math

9-2 Experimental Probability Check It Out: Example 1A During basketball practice, Martha made 9 out of 10 free throws. What is the experimental probability that she will make her next attempt? Write your answer as a fraction, a decimal, and a percent. P(event)  number of times event occurs number of trials 9 10 = 0.9 = 90% P(makes shots)  number of times free throws were made total number of free throws P(makes shots) 

9-2 Experimental Probability Check It Out: Example 1B Emmanuel wins 12 out of 15 of his chess matches. What is the experimental probability that he will win his next game? Write your answer as a fraction, a decimal, and a percent. P(event)  number of times event occurs number of trials = = 0.8 = 80% P(win)  number of wins total number of games P(win)  4545

9-2 Experimental Probability Students have checked out 55 books from the library. Of these, 32 books are fiction. Additional Example 2A: Application What is the experimental probability that the next book checked out will be fiction? P(fiction)  number of fiction books checked out total number of books checked out  The experimental probability that the next book checked out will be fiction is approximately Substitute data.

9-2 Experimental Probability What is the experimental probability that Additional Example 2B: Application the next book checked out will be nonfiction? P(fiction) + P(nonfiction) = 1 The experimental probability that the next book checked out will be nonfiction is approximately Use the complement P(nonfiction) = – – P(nonfiction) = Substitute. Subtract from both sides Simplify.

9-2 Experimental Probability Check It Out: Example 2A For the past two weeks, Kyle kept track of how long he practiced guitar each day. His results are shown in the tables. Week 1 SunMonTuesWedThurFriSat Time (in min) Week 2 SunMonTuesWedThurFriSat Time (in min)

9-2 Experimental Probability Check It Out: Example 2A Continued What is the experimental probability that Kyle will practice for 50 minutes or more? P(event) = number of times events occurs number of trials P(50 or more) = number of days of practice 50 min total number of days 6 14 P(50 or more) = = 3 7 >

9-2 Experimental Probability Check It Out: Example 2B What is the experimental probability that Kyle will practice less than 50 minutes? P(50 or more) + P(less than 50) = P(less than 50) = =

9-2 Experimental Probability Standard Lesson Quiz Lesson Quizzes Lesson Quiz for Student Response Systems

9-2 Experimental Probability Lesson Quiz 1. In a soccer shoot-out, Bryan made 4 out of 9 goals. What is the experimental probability that he will make the next shot? 2. It has rained on the last 2 out of 10 Fourth of July parades in Swanton. A. What is the experimental probability that it will rain on the Fourth of July parade this year? B. What is the experimental probability that it will not rain on the Fourth of July parade this year?

9-2 Experimental Probability 1. During a shot put practice session, Greg crossed the 70-foot mark in 15 out of 21 attempts. What is the experimental probability that he will cross the 70-foot mark in his next attempt? A. B. C. D. Lesson Quiz for Student Response Systems

9-2 Experimental Probability 2. Simon is practicing basketball. He made 33 of 42 free throws he attempted. What is the experimental probability that we will make his next free throw? A. B. C. D. Lesson Quiz for Student Response Systems

9-2 Experimental Probability 3. Rachel found that 20 out of 48 cars that entered a parking lot were red. What is the experimental probability that the next car that comes in is red? What is the experimental probability that the next car that comes in is not red? A. B. C. D. Lesson Quiz for Student Response Systems