The following data were given in a study of a group of 1000 subscribers to a certain magazine. In reference to job, marital status, and education, there were 312 professionals,
470 married persons,
525 college graduates,
42 professional college graduates,
147 married college graduates,
86 married professionals,
25 married professional college graduates.
(i) Let a person be picked at random. Determine the probability that the person is married or professional or college graduate.
(ii) Explain why the numbers reported in the study must be incorrect.

(b) See Explanation

Step-by-step explanation:

Given

---- Professionals,

----- Married persons,

---- College graduates,

 ----- Professional college graduates,

----- Married college graduates,

 ---- Married professionals,

---- Married professional college graduates

Solving (a): P(M or P or C)

This is calculated as:

(b) In probabilities, the probability of an event or collection of events must not exceed 1 and must not go below 0.

In (a) above, the calculated probability exceeds 1.

Because of this single reason, the collected data is incorrect

step-by-step explanation:

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b