For a school project, sue interviewed a total of 100 persons who were either lawyers or salesmen. She asked them if they were happy or unhappy with their occupation. Of the 62 lawyers interviewed, 15 were unhappy, however, only 7 of the salesmen were unhappy. Suppose that one of persons interviewd is selected st random. Find the probability that the person selected is unhappy.
Try to show a little effort of your own, eh?
If the events are independent, the probability of both/all events occurring is determined by multiplying the probabilities of the individual events.
15/62 * 7/(1-62) = ?
To find the probability that the person selected is unhappy, we'll need to determine the total number of people who were unhappy and divide it by the total number of people interviewed.
Given the information provided, we know that there were 15 lawyers who were unhappy and 7 salesmen who were unhappy. This gives us a total of 15 + 7 = 22 people who were unhappy.
Since Sue interviewed a total of 100 people, the probability of selecting an unhappy person can be calculated as follows:
Probability (unhappy) = Number of Unhappy People / Total Number of People
Probability (unhappy) = 22 / 100
Therefore, the probability that the person selected is unhappy is 0.22 or 22%.