Johnny feels that he has a 85% chance of getting an A in Marketing and a 45% chance of getting an A in Managerial Economics. He also believes he has a 35% chance of getting an A in both classes. What is the probability that he does not get an A in either of these courses?Multiple choice question..15.10.05.25
Question
Johnny feels that he has a 85% chance of getting an A in Marketing and a 45% chance of getting an A in Managerial Economics. He also believes he has a 35% chance of getting an A in both classes. What is the probability that he does not get an A in either of these courses?Multiple choice question..15.10.05.25
Solution
To solve this problem, we need to use the formula for the probability of the union of two events, which is P(A ∪ B) = P(A) + P(B) - P(A ∩ B).
Here, P(A) is the probability of getting an A in Marketing, which is 85% or 0.85. P(B) is the probability of getting an A in Managerial Economics, which is 45% or 0.45. P(A ∩ B) is the probability of getting an A in both classes, which is 35% or 0.35.
Substituting these values into the formula, we get:
P(A ∪ B) = 0.85 + 0.45 - 0.35 = 0.95 or 95%
This is the probability that Johnny gets an A in at least one of the classes.
However, the question asks for the probability that he does not get an A in either of these courses. This is the complement of the event that he gets an A in at least one of the classes.
The probability of the complement of an event is given by 1 - P(event).
So, the probability that Johnny does not get an A in either of these courses is 1 - 0.95 = 0.05 or 5%.
So, the correct answer is .05.
Similar Questions
Suppose the probability that you receive a distinction or higher in marketing is 0.91 and the probability that you receive a distinction or higher in microeconomics is 0.79. If it can be assumed that your performance in one course does not influence your performance in the other, what is the probability that you will receive a distinction or higher in at least one of these courses? (correct to 3 decimal places)
Suppose that a certain college class contains 39 students. Of these, 24 are seniors, 21 are mathematics majors, and 5 are neither. A student is selected at random from the class.(a) What is the probability that the student is both a senior and a mathematics major?(b) Given that the student selected is a senior, what is the probability that she is also a mathematics major?
In a certain school, 17 percent of the students are enrolled in a psychology course, 28 percent are enrolledin a foreign language course, and 32 percent are enrolled in either a psychology course or a foreign languagecourse or both. What is the probability that a student chosen at random from this school will be enrolled inboth a foreign language course and a psychology course?(A) 0.45(B) 0.32(C) 0.20(D) 0.13(E) 0.05
15) Sixty-four percent (64%) of the employees at a business have a Business degree. Seventy-five percent (75%) of the employees at the same business have an MBA. If 53% have both a Business degree and an MBA, what is the probability that a randomly chosen individual has either Business degree OR an MBA?
A survey of 36 students at the Wall College of Business showed the following majors: Accounting 10 Finance 6 Economics 4 Management 6 Marketing 10 Click here for the Excel Data FileFrom the 36 students, suppose you randomly select a student.a. What is the probability he or she is a management major? (Round your answer to 3 decimal places.)b. Which concept of probability did you use to make this estimate?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.