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Pearson Algebra 1 Common Core, 2011 – Theoretical and Experimental Probability

24 %

Solution

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 the community 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 go to community college, 43 whose plan is going to a 4-year college, 12 who plan to take a year off before college, 15 who plan to go 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, 24 people plan to go to the community college, so this is the number of favorable outcomes. Now we have enough information to calculate P(community college).

P=Favorable Outcomes/Possible Outcomes
SubstituteValues

Substitute values

P(community college)=24/100
ReduceFrac

a/b=.a /4./.b /4.

P(community college)=6/25
▼
Convert to percent
CalcQuot

Calculate quotient

P(community college)=0.24
WritePercent

Convert to percent

P(community college)=24 %

The probability of choosing a student that plans to go to the community college is 625, which can also be written as 24 %.

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