Question

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?

Answer 1

Answer:

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