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. Attending an In-State College Not Attending an In-State College Begin Summer Semester 178 21 Won't Begin Summer Semester 301 162 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.

Question

Mathematics

Kelly Gilmore

16 April, 17:48

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. Attending an In-State College Not Attending an In-State College Begin Summer Semester 178 21 Won't Begin Summer Semester 301 162 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.

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Answers (1)

Know the Answer?

Josue Nixon · Answer 1

The first answer is 178/662, which simplifies to 89/331.

The second answer is 178/479.

Explanation

For the first question:

There are 178 students that answered that they would be attending an in-state college and beginning summer semester, out of a total of 662 students surveyed.

For the second question:

There are 178 students that answered that they would begin summer semester, out of 479 students that said they were attending an in-state college.