Math Self Help Tutor: EXPERIMENTAL PROBABILITY. Pennsylvania State Standard: Data Analysis and...
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![Page 1: Math Self Help Tutor: EXPERIMENTAL PROBABILITY. Pennsylvania State Standard: Data Analysis and Probability.](https://reader035.fdocuments.us/reader035/viewer/2022071806/56649d0c5503460f949df92c/html5/thumbnails/1.jpg)
Math Self Help Tutor:
EXPERIMENTAL PROBABILITY
![Page 2: Math Self Help Tutor: EXPERIMENTAL PROBABILITY. Pennsylvania State Standard: Data Analysis and Probability.](https://reader035.fdocuments.us/reader035/viewer/2022071806/56649d0c5503460f949df92c/html5/thumbnails/2.jpg)
Pennsylvania State Standard: Data Analysis and Probability
![Page 3: Math Self Help Tutor: EXPERIMENTAL PROBABILITY. Pennsylvania State Standard: Data Analysis and Probability.](https://reader035.fdocuments.us/reader035/viewer/2022071806/56649d0c5503460f949df92c/html5/thumbnails/3.jpg)
Experimental probability: A statement of probability based on the results of a series of trials. E.G. You roll a six sided die 10 times and recorded that a 3
came up three times; a 1 came up two times; a 5 came up four times; and a 6 came up one time
VOCABULARY
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Experimental Probability:
P (event) = number of times event occurs
total number of trials
HOW TO FIND EXPERIMENAL PROBABILITY
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EXAMPLE PROBLEM:
You have a bag of marbles. The bag contains 4 green marbles, 8 orange marbles, and 5 purple marbles. Pick a marble out of the bag, record the color that you picked, and then replace the marble. Do this 10 times and the find the probability that you pulled out a purple marble.
HOW TO FIND EXPERIMENTAL PROBABILITY
Since you are performing the experiment and recording your answers to find the probability, you are finding experimental probability.
![Page 6: Math Self Help Tutor: EXPERIMENTAL PROBABILITY. Pennsylvania State Standard: Data Analysis and Probability.](https://reader035.fdocuments.us/reader035/viewer/2022071806/56649d0c5503460f949df92c/html5/thumbnails/6.jpg)
HOW TO FIND EXPERIMENAL PROBABILITY
Trial Green Orange Purple
1
2
3
4
5
6
7
8
9
10
TOTAL
Exp. Prob
You pick out an orang marble the first time. So you put a check or an “x” to show the
result.
xFirst, make a chart to record the results for your experiment
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HOW TO FIND EXPERIMENAL PROBABILITY
Trial Green Orange Purple
1
2
3
4
5
6
7
8
9
10
TOTAL
Exp. Prob
For trial 2, you pick an orange marble again. Record your answer!
x
x
![Page 8: Math Self Help Tutor: EXPERIMENTAL PROBABILITY. Pennsylvania State Standard: Data Analysis and Probability.](https://reader035.fdocuments.us/reader035/viewer/2022071806/56649d0c5503460f949df92c/html5/thumbnails/8.jpg)
HOW TO FIND EXPERIMENAL PROBABILITY
Trial Green Orange Purple
1
2
3
4
5
6
7
8
9
10
TOTAL
Exp. Prob
You pick a purple marble for trial 3. Record your answer!
x
x
x
![Page 9: Math Self Help Tutor: EXPERIMENTAL PROBABILITY. Pennsylvania State Standard: Data Analysis and Probability.](https://reader035.fdocuments.us/reader035/viewer/2022071806/56649d0c5503460f949df92c/html5/thumbnails/9.jpg)
HOW TO FIND EXPERIMENAL PROBABILITY
Trial Green Orange Purple
1
2
3
4
5
6
7
8
9
10
TOTAL
Exp. Prob
You pick a green marble for trial 4. Record your answer!
x
x
x
x
![Page 10: Math Self Help Tutor: EXPERIMENTAL PROBABILITY. Pennsylvania State Standard: Data Analysis and Probability.](https://reader035.fdocuments.us/reader035/viewer/2022071806/56649d0c5503460f949df92c/html5/thumbnails/10.jpg)
HOW TO FIND EXPERIMENAL PROBABILITY
Trial Green Orange Purple
1
2
3
4
5
6
7
8
9
10
TOTAL
Exp. Prob
You pick a green marble for trial 5. Record your answer!
x
x
x
x
x
![Page 11: Math Self Help Tutor: EXPERIMENTAL PROBABILITY. Pennsylvania State Standard: Data Analysis and Probability.](https://reader035.fdocuments.us/reader035/viewer/2022071806/56649d0c5503460f949df92c/html5/thumbnails/11.jpg)
HOW TO FIND EXPERIMENAL PROBABILITY
Trial Green Orange Purple
1
2
3
4
5
6
7
8
9
10
TOTAL
Exp. Prob
You pick a purple marble for trial 6. Record your answer!
x
x
x
x
x
x
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HOW TO FIND EXPERIMENAL PROBABILITY
Trial Green Orange Purple
1
2
3
4
5
6
7
8
9
10
TOTAL
Exp. Prob
You pick an orange marble for trial 7. Record your answer!
x
x
x
x
x
x
x
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HOW TO FIND EXPERIMENAL PROBABILITY
Trial Green Orange Purple
1
2
3
4
5
6
7
8
9
10
TOTAL
Exp. Prob
You pick a purple marble for trial 8. Record your answer!
x
x
x
x
x
x
x
x
![Page 14: Math Self Help Tutor: EXPERIMENTAL PROBABILITY. Pennsylvania State Standard: Data Analysis and Probability.](https://reader035.fdocuments.us/reader035/viewer/2022071806/56649d0c5503460f949df92c/html5/thumbnails/14.jpg)
HOW TO FIND EXPERIMENAL PROBABILITY
Trial Green Orange Purple
1
2
3
4
5
6
7
8
9
10
TOTAL
Exp. Prob
You pick an orange marble for trial 9. Record your answer!
x
x
x
x
x
x
x
x
x
![Page 15: Math Self Help Tutor: EXPERIMENTAL PROBABILITY. Pennsylvania State Standard: Data Analysis and Probability.](https://reader035.fdocuments.us/reader035/viewer/2022071806/56649d0c5503460f949df92c/html5/thumbnails/15.jpg)
HOW TO FIND EXPERIMENAL PROBABILITY
Trial Green Orange Purple
1
2
3
4
5
6
7
8
9
10
TOTAL
Exp. Prob
You pick a green marble for trial 10. Record your answer!
x
x
x
x
x
x
x
x
x
x
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HOW TO FIND EXPERIMENAL PROBABILITY
Trial Green Orange Purple
1
2
3
4
5
6
7
8
9
10
TOTAL
Exp. Prob
Now find the total for each color by counting the marks in each column.
x
x
x
x
x
x
x
x
x
x
3 4 3
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HOW TO FIND EXPERIMENAL PROBABILITY
Trial Green Orange Purple
1
2
3
4
5
6
7
8
9
10
TOTAL
Exp. Prob
What is the probability that you pulled a purple?
x
x
x
x
x
x
x
x
x
x
3 4 3
total number of trials# of times event occurred
10
3