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 UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Lesson QuizzesLesson 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
12
23 . 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 occurstotal number of trials
Substitute data from the experiment.712=
The experimental probability that Sasha will land her next jump is .7
12
number of jumps landednumber of jumps attemptedP(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 occursnumber of trials
910 = 0.9 = 90%
P(makes shots) number of times free throws were madetotal 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 occursnumber of trials
1215 = = 0.8 = 80%
P(win) number of winstotal number of games
P(win) 45
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 outtotal number of books checked out
3255
The experimental probability that the next book checked out will be fiction is approximately 32
55.
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 23 55.
Use the complement.
3255
+ P(nonfiction) = 1
3255
3255–
–
P(nonfiction) = 23 55
Substitute.
Subtract from both sides.
32 55
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 Sun Mon Tues Wed Thur Fri Sat
Time (in min) 45 35 40 50 55 45 45
Week 2 Sun Mon Tues Wed Thur Fri Sat
Time (in min) 65 45 45 40 60 55 60
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 14P(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) = 1
3 7 + P(less than 50) = 1
P(less than 50) = 1 3 7
4 7=
9-2 Experimental Probability
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
9-2 Experimental Probability
Lesson Quiz1. 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?
15
49
45
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
27576775
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
91411421114
1411
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