In a high school graduating class of 128 students, 52 are on the honor roll. Of these, 48 are going on to college; of the other 76 students, 56 are going on to college. What is the probability that a student selected at random from the class is (a) going to college, (b) not going to college, and (c) not going to college and on the honor roll?

Question

Mathematics

Kobe

9 October, 12:10

In a high school graduating class of 128 students, 52 are on the honor roll. Of these, 48 are going on to college; of the other 76 students, 56 are going on to college. What is the probability that a student selected at random from the class is (a) going to college, (b) not going to college, and (c) not going to college and on the honor roll?

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Answers (1)

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Rowan Gordon · Answer 1

a. 0.8125

b. 0.1875

c. 0.03125

Step-by-step explanation:

from the information given, we can come up with the following data

Total No of students = 128

Total Nos of students going to college = 48+56=104

Total Nos of students not going to college and on the honor roll = 52-48=4

a. To determine the probability of students going to college we have

P (going to college) = (total number of students going to college) / total number of students

P (going to college) = 104/128

P (going to college) = 0.8125

b. To determine the probability of students not going to college, we use the rule that says total probability is 1, hence

Pr (not going to college) = 1-Pr (going to college)

Pr (not going to college) = 1-0.8125

Pr (not going to college) = 0.1875

c. To determine the probability of students NOT going to college and on the pay roll we have

Pr = (Total Number of students not going to college and on the honor roll) / total number of students

Pr=4/128

Pr=0.03125