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Use the Probability Formula.
43 %
When calculating an experimental probability, we are comparing the number of times the event occurs to the number of times the experiment is done.
P=Times the Event Occurs/Times the Experiment Is Done
This is very similar to the Probability Formula.
Below we can see the results of a survey of 100 randomly selected students at a 2000-student high school. Now we can find the experimental probability that a student selected at random plans to go to a four-year college.
| Response | Number of Responses |
|---|---|
| Go to community college | 24 |
| Go to 4-year college | 43 |
| Take a year off before college | 12 |
| Go to trade school | 15 |
| Do not plan to go to college | 6 |
In the table, there is a total of 24 students who plan to go to community college, 43 whose plan is going to a four-year college, 12 who plan taking a year off before college, 15 who plan going to trade school, and 6 who do not plan to go to college. The sum of these values is the number of possible outcomes. 24+43+12+15+6= 100 Out of these, 43 people plan to go to a 4-year college, so this is the number of favorable outcomes. Now we have enough information to calculate P(4-year college).
Substitute values
The probability of choosing a student that plans to go to the community college is 43100, which can also be written as 43 %.