9-2 experimental probability warm up warm up lesson presentation lesson presentation problem of the...

9-2 Experimental Probability

Warm UpWarm Up

Lesson PresentationLesson Presentation

Problem of the DayProblem of the Day

Lesson QuizzesLesson Quizzes


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


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?


MA.7.P.7.2 Determine, compare, and make predictions based on experimental…probability…

Sunshine State Standards


Vocabulary

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.


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)


“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


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)


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


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.


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.


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


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

>


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=


Standard Lesson Quiz

Lesson Quizzes

Lesson Quiz for Student Response Systems


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


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.


27576775


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.


91411421114

1411


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.


9-2 experimental probability warm up warm up lesson presentation lesson presentation problem of the...

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