In a high school graduating class of 128 students,52 are on the honor roll.Of these,45 are going on to college;of the other 76 students,53 are going on to college.A student is selected at random from the class.What is the probability that the person chosen is going to college.
A) $\frac { 49 } { 64 }$
B) $\frac { 64 } { 49 }$
C) $\frac { 53 } { 128 }$
D) $\frac { 128 } { 53 }$
E) $\frac { 45 } { 128 }$

Question

In a high school graduating class of 128 students,52 are on the honor roll.Of these,45 are going on to college;of the other 76 students,53 are going on to college.A student is selected at random from the class.What is the probability that the person chosen is going to college. ​
A) $\frac { 49 } { 64 }$
B) $\frac { 64 } { 49 }$
C) $\frac { 53 } { 128 }$
D) $\frac { 128 } { 53 }$
E) $\frac { 45 } { 128 }$

Quizplus · Accepted Answer

The total number of students going to college is 45 (from the honor roll) + 53 (from the non-honor roll) = 98. The total number of students is 128. Therefore, the probability is $\frac{98}{128} = \frac{49}{64}$.

In a High School Graduating Class of 128 Students,52 Are 4964\frac { 49 } { 64 }6449​

In a High School Graduating Class of 128 Students,52 Are $\frac { 49 } { 64 }$