This document provides a lesson on experimental probability. It defines key terms like experiment, outcome, and sample space. It explains that the experimental probability of an event is the ratio of the number of times the event occurs to the total number of times the experiment is performed. Several examples are provided to demonstrate how to identify outcomes and sample spaces, calculate experimental probabilities based on frequency tables, and compare experimental probabilities to determine the most likely outcome.

1. Learn to find the experimental probability
of an event.
Course 1
11-2 Experimental Probability

2. Vocabulary
experiment
outcome
sample space
experimental probability
Insert Lesson Title Here
Course 1
11-2 Experimental Probability

3. An experiment is an activity involving chance
that can have different results. Flipping a coin and
rolling a number cube are examples of
experiments.
The different results that can occur are called
outcomes of the experiment. If you are flipping
a coin, heads is one possible outcome.
The sample space of an experiment is the set of
all possible outcomes. You can use {} to show
sample spaces. When a coin is being flipped,
{heads, tails} is the sample space.
Course 1
11-2 Experimental Probability

4. Additional Example 1A: Identifying Outcomes
and Sample Spaces
For each experiment, identify the outcome
shown and the sample space.
A. Spinning two spinners
outcome shown: B1
sample space: {A1, A2, B1, B2}
Course 1
11-2 Experimental Probability

5. Additional Example 1B: Identifying Outcomes
and Sample Spaces
For each experiment, identify the outcome
shown and the sample space.
B. Spinning a spinner
outcome shown: green
sample space: {red, purple, green}
Course 1
11-2 Experimental Probability

6. Try This: Example 1A
For each experiment, identify the outcome
shown and the sample space.
A. Spinning two spinners
outcome shown: C3
sample space: {C3, C4, D3, D4}
C D 3 4
Course 1
11-2 Experimental Probability

7. Try This: Example 1B
For each experiment, identify the outcome
shown and the sample space.
B. Spinning a spinner
outcome shown: blue
sample space: {blue, orange, green}
Course 1
11-2 Experimental Probability

8. Performing an experiment is one way to estimate
the probability of an event. If an experiment is
repeated many times, the experimental
probability of an event is the ratio of the
number of times the event occurs to the total
number of times the experiment is performed.
Course 1
11-2 Experimental Probability
P (Basketball Throws) ~

9. The probability of an event can be written
as P(event). P(blue) means “the
probability that blue will be the outcome.”
Writing Math
Course 1
11-2 Experimental Probability

10. Additional Example 2: Finding Experimental
Probability
For one month, Mr. Crowe recorded the time at
which his train arrived. He organized his results
in a frequency table.
Time 6:49-6:52 6:53-6:56 6:57-7:00
Frequency 7 8 5
Course 1
11-2 Experimental Probability

11. Additional Example 2A Continued
=
7 + 8
20
_____
=
15
20
___ =
3
4
__
Before 6:57 includes 6:49-6:52 and 6:53-6:56.
P(before 6:57) number of times the event occurs
total number of trials
___________________________
A. Find the experimental probability that the
train will arrive before 6:57.
Course 1
11-2 Experimental Probability

12. Additional Example 2B: Finding Experimental
Probability
=
8
20
___ =
2
5
__
P(between 6:53 and 6:56)
number of times the event occurs
total number of trials
___________________________
B. Find the experimental probability that
the train will arrive between 6:53 and 6:56.
Course 1
11-2 Experimental Probability

13. Additional Example 3: Comparing
Experimental Probabilities
Erika tossed a cylinder 30 times and recorded
whether it landed on one of its bases or on its
side. Based on Erika’s experiment, which way
is the cylinder more likely to land?
Outcome On a base On its side
Frequency llll llll llll llll llll llll l
Find the experimental probability of each outcome.
Course 1
11-2 Experimental Probability

14. Additional Example 3 Continued
=
21
30
___P(side)
number of times the event occurs
total number of trials
___________________________
Compare the probabilities.
9
30
___
<
21
30
___
It is more likely that the cylinder will land on its
side.
=
9
30
___P(base)
number of times the event occurs
total number of trials
___________________________
Course 1
11-2 Experimental Probability

15. Try This: Example 3
Chad tossed a cylinder 25 times and recorded
whether it landed on one of its bases or on its
side. Based on Chads’s experiment, which
way is the cylinder more likely to land?
Outcome On a base On its side
Frequency llll llll llll llll llll
Find the experimental probability of each outcome.
Course 1
11-2 Experimental Probability

16. Try This: Example 3 Continued
=
20
25
___P(side)
number of times the event occurs
total number of trials
___________________________
Compare the probabilities.
5
25
___
<
20
25
___
It is more likely that the cylinder will land on its
side.
=
5
25
___P(base)
number of times the event occurs
total number of trials
___________________________
Course 1
11-2 Experimental Probability

17. Lesson Quiz: Part 1
1. The spinner below was spun. Identify the
outcome shown and the sample space.
outcome: green; sample
space: {red, blue, green,
purple, yellow}
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Course 1
11-2 Experimental Probability

18. Lesson Quiz: Part 2
2. Find the experimental probability that the
spinner will land on blue.
3. Find the experimental probability that the
spinner will land on red.
4. Based on the experiment, on which color will
the spinner most likely land?
Insert Lesson Title Here
red
2
9
__
4
9
__
Sandra spun the spinner above several times
and recorded the results in the table.
Course 1
11-2 Experimental Probability