10-2 experimental probability warm up warm up lesson presentation lesson presentation problem of the...
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10-2 Experimental Probability
Warm UpWarm Up
Lesson PresentationLesson Presentation
Problem of the DayProblem of the Day
Lesson QuizzesLesson Quizzes
10-2 Experimental Probability
I can find experimental probability.
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
10-2 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?
10-2 Experimental Probability
I can find experimental probability.
10-2 Experimental Probability
Vocabulary
experimental probability
10-2 Experimental Probability
Experimental probability is one way of estimating the probability of an event. The experimental probability of the 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.
10-2 Experimental Probability
10-2 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)
10-2 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
10-2 Experimental Probability
Check It Out: Example 1
During basketball practice, Martha made 9 out of 10 free throws. What is the experimental probability that she will make her next attempt?
P(event) number of times an event occurstotal number of trials
The experimental probability that Martha will make the next free throw is or 90%.9
10
Substitute data from the experiment and write as a percent.
910= = 90%
P(free throws made) number of free throws madenumber of free throws attempted
10-2 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.
10-2 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.
10-2 Experimental Probability
Check It Out: Example 2A
Students have a fruit choice for lunch of an apple or a pear. So far 18 of 47 students have selected pears.
What is the experimental probability that the next fruit selected will be a pear?
1847
The experimental probability that the next fruit selected will be a pear is approximately 18
47.
Substitute data.
P(pear) number of pears selectedtotal number of fruit selected
10-2 Experimental Probability
Check It Out: Example 2B
What is the experimental probability that next fruit selected will be an apple?
P(pear) + P(apple) = 1
The experimental probability that the next fruit
selected will be an apple is 29 47.
Use the complement.
1847
+ P(apple) = 1
1847
1847
– –
P(apple) = 29 47
Substitute.
Subtract from both sides.
18 47
Simplify.
10-2 Experimental Probability
Standard Lesson Quiz
Lesson Quizzes
Lesson Quiz for Student Response Systems
10-2 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
10-2 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
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10-2 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
10-2 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