Question

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

Answer 1

Answer:

178/662

Step-by-step explanation:

The information given is presented and summarised in the table below.$\left|\begin{array}{c|c|c|c}& Attending an & Not Attending an& Total\\& In-State College& In-State College\\--&--&--&--\\ Begin&178&21&199\\ Won't Begin&301&162&463\\--&--&--&--\\ Total&479&183&662\end{array}\right|$

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

P(a student will begin college during the summer semester and attend an in-state college) $= 178/662$