3. Essential Questions
How do you collect data with experiments?
How do you use data to find experimental
probabilities?
Where you’ll see this:
Music, market research, games, statistics, probability
5. Vocabulary
1. Experiment: An activity used to produce data that is
observed and recorded
2. Relative Frequency:
3. Experimental Probability:
6. Vocabulary
1. Experiment: An activity used to produce data that is
observed and recorded
2. Relative Frequency: Comparing the number of times an
outcome occurs to the total number of observations
3. Experimental Probability:
7. Vocabulary
1. Experiment: An activity used to produce data that is
observed and recorded
2. Relative Frequency: Comparing the number of times an
outcome occurs to the total number of observations
3. Experimental Probability: The likelihood an event (E) is
going to occur
8. Vocabulary
1. Experiment: An activity used to produce data that is
observed and recorded
2. Relative Frequency: Comparing the number of times an
outcome occurs to the total number of observations
3. Experimental Probability: The likelihood an event (E) is
going to occur
Number of favorable outcomes
P( E ) =
Total number of possible outcomes
10. Activity
Obtain a coin and flip it 30 times. Keep track of your
results in the table.
Number of Tails
Number of Heads
11. Activity
Obtain a coin and flip it 30 times. Keep track of your
results in the table.
Number of Tails
Number of Heads
What is the ratio of heads up to the total number of
tosses that you had? This is P(Heads), or the probability of
flipping a coin and landing on heads.
13. Experimental Probability
Number of favorable outcomes
P( E ) =
Total number of possible outcomes
14. Example 1
Maggie Brann gave samples of a new lipstick and asked the
women who received the samples to rate the lipstick
according to certain standards of appeal. The results of the
survey are below:
Scores 50-59 60-69 70-79 80-89 90-99
Frequency 1 4 2 6 2
What is the experimental probability that a woman who
received a lipstick gave it a rating of at least 80?
15. Example 1
Maggie Brann gave samples of a new lipstick and asked the
women who received the samples to rate the lipstick
according to certain standards of appeal. The results of the
survey are below:
Scores 50-59 60-69 70-79 80-89 90-99
Frequency 1 4 2 6 2
What is the experimental probability that a woman who
received a lipstick gave it a rating of at least 80?
P(Score ≥ 80)
16. Example 1
Maggie Brann gave samples of a new lipstick and asked the
women who received the samples to rate the lipstick
according to certain standards of appeal. The results of the
survey are below:
Scores 50-59 60-69 70-79 80-89 90-99
Frequency 1 4 2 6 2
What is the experimental probability that a woman who
received a lipstick gave it a rating of at least 80?
6+2
P(Score ≥ 80) =
15
17. Example 1
Maggie Brann gave samples of a new lipstick and asked the
women who received the samples to rate the lipstick
according to certain standards of appeal. The results of the
survey are below:
Scores 50-59 60-69 70-79 80-89 90-99
Frequency 1 4 2 6 2
What is the experimental probability that a woman who
received a lipstick gave it a rating of at least 80?
6+2 8
P(Score ≥ 80) = =
15 15
18. Example 1
Maggie Brann gave samples of a new lipstick and asked the
women who received the samples to rate the lipstick
according to certain standards of appeal. The results of the
survey are below:
Scores 50-59 60-69 70-79 80-89 90-99
Frequency 1 4 2 6 2
What is the experimental probability that a woman who
received a lipstick gave it a rating of at least 80?
6+2 8
P(Score ≥ 80) = = = 53 1 3 %
15 15
19. Example 2
What is the probability that a dart thrown at this
dartboard will land in the bull’s-eye? The radius of the
smallest circle is 2 cm, and each band is also 2 cm wide.
20. Example 2
What is the probability that a dart thrown at this
dartboard will land in the bull’s-eye? The radius of the
smallest circle is 2 cm, and each band is also 2 cm wide.
P(Bull's-eye)
21. Example 2
What is the probability that a dart thrown at this
dartboard will land in the bull’s-eye? The radius of the
smallest circle is 2 cm, and each band is also 2 cm wide.
P(Bull's-eye)
Area of smallest circle
=
Area of largest circle
22. Example 2
What is the probability that a dart thrown at this
dartboard will land in the bull’s-eye? The radius of the
smallest circle is 2 cm, and each band is also 2 cm wide.
P(Bull's-eye)
Area of smallest circle
=
Area of largest circle
2
π (2)
= 2
π (6)
23. Example 2
What is the probability that a dart thrown at this
dartboard will land in the bull’s-eye? The radius of the
smallest circle is 2 cm, and each band is also 2 cm wide.
P(Bull's-eye)
Area of smallest circle
=
Area of largest circle
π (2) = 4
2
=
π (6) 2 36
24. Example 2
What is the probability that a dart thrown at this
dartboard will land in the bull’s-eye? The radius of the
smallest circle is 2 cm, and each band is also 2 cm wide.
P(Bull's-eye)
Area of smallest circle
=
Area of largest circle
π (2) = 4 = 1
2
=
π (6) 2 36 9
25. Example 2
What is the probability that a dart thrown at this
dartboard will land in the bull’s-eye? The radius of the
smallest circle is 2 cm, and each band is also 2 cm wide.
P(Bull's-eye)
Area of smallest circle
=
Area of largest circle
π (2) = 4 = 1
2
=
π (6) 2 36 9
= 11 1 9 %
26. Example 2
What is the probability that a dart thrown at this
dartboard will land in the bull’s-eye? The radius of the
smallest circle is 2 cm, and each band is also 2 cm wide.
P(Bull's-eye)
Area of smallest circle
=
Area of largest circle
π (2) = 4 = 1
2
=
π (6) 2 36 9
= 11 1 9 %
Favorable area
P(Area) =
Total area
