Question

Of 100 persons in a company, 70 are married, 80 are college graduates, and 60 are married and college graduates. Find the probability (In fraction form) that if a person is selected at random from this group, the person will be

a. Married OR not a college graduate
b. Married AND a college graduate
c. Married AND not a college graduate

Answer 1

Answer:

A. married:70

P(E)=NO OF OBSERVATIONS/TOTAL NO OF OBSERVATION

SO; 70/100=7/10

B. MARRIED AND COLLEGE GRADUATE=60

P(E)=NO OF OBSERVATIONS/TOTAL NO OF OBSERVATION

SO; 60/100=6/10

C. MARRIED AND NOT A COLLEGE GRADUATE=

WE KNOW THAT P(E)+P(E NOT)=1

SO; 7/10+P(E NOT)=1

P(E NOT)=1-7/10

=3/10

therefore person not a college graduate are 30 people out of 100