holt algebra 1 10-5 experimental probability do now write the equivalent percent. 1. 2. 3. write the...
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Holt Algebra 1
10-5 Experimental Probability
Do NowWrite the equivalent percent.
1. 2. 3.
Write the equivalent fraction.
7. 50% 8. 9.
25%30%
4. 6.5.10% 40% 35%
20%
Write the equivalent decimal.
0.5 0.2 0.9
Holt Algebra 1
10-5 Experimental Probability
An experiment is an activity involving chance. Each repetition or observation of an experiment is a trial, and each possible result is an outcome. The sample space of an experiment is the set of all possible outcomes.
Holt Algebra 1
10-5 Experimental Probability
Example 1: Identifying Sample Spaces and Outcomes
Identify the sample space and the outcome shown for each experiment.
A. Rolling a number cube
Sample space:{1, 2, 3, 4, 5, 6}
Outcome shown: 4
B. Spinning a spinner
Sample space:{red, green, orange, purple}
Outcome shown: green
Holt Algebra 1
10-5 Experimental Probability
An event is an outcome or set of outcomes in an experiment.
Probability is the measure of how likely an event is to occur. Probabilities are written as fractions or decimals from 0 to 1, or as percents from 0% to 100%.
Holt Algebra 1
10-5 Experimental Probability
ImpossibleAs likely as not
Certain
Unlikely Likely
0%Events with a probability of
0% never happen.
50%Events with a
probability of 50% have the same
chance of happening as not.
100%Events with a probability of 100% always
happen.
Holt Algebra 1
10-5 Experimental Probability
You can estimate the probability of an event by performing an experiment.
The experimental probability of an event is the ratio of the number of times the event occurs to the number of trials. The more trials performed, the more accurate the estimate will be.
Holt Algebra 1
10-5 Experimental Probability
Holt Algebra 1
10-5 Experimental Probability
Example 2A: Finding Experimental Probability
Outcome Frequency
Green 15
Orange 10
Purple 8
Pink 7
An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability of the event.
Spinner lands on orange
Holt Algebra 1
10-5 Experimental Probability
Example 2B: Finding Experimental Probability
Outcome Frequency
Green 15
Orange 10
Purple 8
Pink 7
An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability of the event.
Spinner does not land on green
Holt Algebra 1
10-5 Experimental Probability
Example 3A: Try It Now
An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability of each event.
Spinner lands on red
Outcome Frequency
Red 7
Blue 8
Green 5
Holt Algebra 1
10-5 Experimental Probability
Example 3B: Try It Now
Spinner does not land on red
An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability of each event.
Outcome Frequency
Red 7
Blue 8
Green 5
Holt Algebra 1
10-5 Experimental Probability
You can use experimental probability to make predictions.
A prediction is an estimate or guess about something that has not yet happened.
Holt Algebra 1
10-5 Experimental Probability
Example 4A: Quality Control Application
A manufacturer inspects 500 strollers and finds that 498 have no defects.
What is the experimental probability that a stroller chosen at random has no defects?
Find the experimental probability that a stroller has no defects.
= 99.6%
The experimental probability that a stroller has no defects is 99.6%.
Holt Algebra 1
10-5 Experimental Probability
Example 4B: Manufacturing Application
A manufacturer inspects 500 strollers and finds that 498 have no defects.
The manufacturer shipped 3500 strollers to a distribution center. Predict the number of strollers that are likely to have no defects.
Find 99.6% of 3500.
0.996(3500) = 3486
The prediction is that 3486 strollers will have no defects.
Holt Algebra 1
10-5 Experimental Probability
Example 5A: Try It Now
A manufacturer inspects 1500 electric toothbrush motors and finds 1497 have no defects. What is the experimental probability that a motor chosen at random will have no defects?
Find the experimental probability that a motor has no defects.
= 99.8%
Holt Algebra 1
10-5 Experimental Probability
Example 5B: Try It Now
A manufacturer inspects 1500 electric toothbrush motors and finds 1497 have no defects. There are 35,000 motors in a warehouse. Predict the number of motors that are likely to have no defects.
Find 99.8% of 35,000.
0.998(35000) = 34930
The prediction is that 34,930 motors will have no defects.
Holt Algebra 1
10-5 Experimental Probability
Points to Remember
•Experimental probability =
•Probability can be expressed as a fraction, decimal, or percent.
# of times the event occurs# of trials
Holt Algebra 1
10-5 Experimental Probability
1. Identify the sample space and the outcome shown for selecting a marble.
Lesson Quiz: Part I
Sample space: {red, green, yellow}
Outcome shown: red
Holt Algebra 1
10-5 Experimental Probability
Lesson Quiz: Part II
2. An experiment consists of spinning a spinner. Use the results in the table to find the
experimental probability of landing on blue.
Outcome Frequency
Red 9
Blue 6
Yellow 5
Holt Algebra 1
10-5 Experimental Probability
Lesson Quiz: Part III
3. The neighbors’ dog barked at Tana the last 4 out of 5 times she walked by their house.
a. What is the experimental probability that the dog barks at Tana when she walks past the house? 80%
b. Predict the number of times the dog will bark at Tana if she walks past the house 45 times.36