Experimental Probability: Theory and Sample Problems

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This pdf includes the following topics:-
Vocabulary
Experimental Probability
Sports Application
Application
QUIZ
Examples
1. 10-2 Experimental Probability
Learn to find experimental probability.
Course 2
2. Insert LessonProbability
10-2 Experimental Title Here
Vocabulary
experimental probability
trial
Course 2
3. 10-2 Experimental Probability
Experimental probability is one way of estimating
the probability of an event. It is based on actual
experience or observations. Experimental
probability is found by comparing the number
of times an event occurs to the total number of
trials, the times an experiment is carried out or
an observation is made. The more trials you
have, the more accurate the estimate is likely to
be.
Course 2
4. 10-2 Experimental Probability
EXPERIMENTAL PROBABILITY
probability  number of times an event occurs
total number of trials
Course 2
5. 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?
P  number of times an event occurs
total number of trials
number of jumps landed
P  number of jumps attempted
 7 Substitute.
12
The experimental probability that Sasha will land her
next jump is 7 .
12
Course 2
6. 10-2 Insert Lesson Probability
Experimental Title Here
Try This: Example 1
10 free throws. What is the experimental
probability that she will make her next attempt?
P  number of times an event occurs
total number of trials
P number of free throws made
number of free throws attempted
9
 10 Substitute.
The experimental probability that Martha will make the
next free throw is 9 .
10
Course 2
7. 10-2 Experimental Probability
Writing Math
“P(event)” represents the probability that an event
will occur. For example, the probability of a flipped
Recall that an outcome of an experiment can be
impossible, certain, or in between. If an event is
impossible, it will never happen in any trial.
P(impossible event) = 0
total number of trials
=0
0 divided by any number except 0 equals 0.
Course 2
8. 10-2 Experimental Probability
If an event is certain, it will always happen in
every trial. This means that the number of times
the event happens is equal to the total number of
trials.
P(certain event) = total number of trials
total number of trials
=1
Any number except 0 divided by itself equals 1.
Course 2
9. 10-2 Experimental Probability
All probabilities can be expressed numerically on a
scale from 0 to 1.
As likely
Impossible Unlikely as not Likely Certain
0 1 1
2
Course 2
10. 10-2 Experimental Probability
Students have checked out 55 books from the
library. Of these, 32 books are fiction.
A. What is the experimental probability that
the next book checked out will be fiction?
number of fiction books checked out
P(fiction)  total number of books checked out
32 Substitute.
 55
The experimental probability that the next book
checked out will be fiction is approximately 32.
55
Course 2
11. 10-2 Experimental Probability
B. What is the experimental probability that
the next book checked out will be nonfiction?
P(nonfiction)  number of nonfiction books checked out
total number of books checked out
 23 Substitute.
55
The experimental probability that the next book checked
out will be nonfiction is approximately 23.
55
Course 2
12. 10-2 Insert Lesson Probability
Experimental Title Here
Try This: Example 2A
Students have a fruit choice for lunch of an
apple or a pear. So far 18 of 47 students have
selected pears.
A. What is the experimental probability that the
next fruit selected will be a pear?
P(pear)  number of pears selected
total number of fruit selected
 18
47
Substitute.
The experimental probability that the next fruit
selected will be a pear is approximately 18.
47
Course 2
13. 10-2 Insert Lesson Probability
Experimental Title Here
Try This: Example 2B
B. What is the experimental probability that
next fruit selected will be an apple?
number of apples selected
P(apple)  total number of fruit selected
 29 Substitute.
47
The experimental probability that the next fruit
selected will be an apple is approximately 29 .
47
Course 2
14. 10-2 Experimental
Insert LessonProbability
Title Here
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? 4
9
2. It has rained on the last 2 out of 10 Fourth of
July parades in Swanton. What is the experimental
probability that it will rain this year on July 4? 1
5
3. There have been 15 or more birds eating at a
feeder at noon on 12 of the last 15 days. What is
the experimental probability that there will be 15 or
more birds feeding at that same time on the 16th
day? 4
5
Course 2
15. 10-2 Worksheet