Question

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Before they graduate from Great Lakes High School, all 12th grade students fill out a survey about their future college plans.


Are you attending an in-state college after high school graduation?
Will you begin college during the summer semester?
The same group of students are asked to answer yes or no to both questions. The students’ responses were recorded on the table below.

Determine the probability that a student will begin college during the summer semester and attend an in-state college.
Determine the probability that a student will begin college during the summer semester given that he is attending an in-state college.

Answer 1

The probability is P = 0.894

How to get the probabilities?

a) Determine the probability that a student will begin college during the summer semester and attend an in-state college.

The probability is given by the quotient between the number of students that start on summer semester and attend to an in-State college, and the total number of students that start on the summer semester.

The number of students starting on the summer semester is:

178 + 21 = 199

Of these 199 students, 178 will attend to an in-state college, so our probability is:

P = 178/199  = 0.894

If you want to learn more about probability:

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