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)

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

Suppose that Jim is applying to two colleges: College A, an “Ivy League” school, and College B, a state university. Based on his credentials and the requirements of the two colleges, Jim estimates his chances with the following probabilities:Probability that he will be admitted to college A is 0.10.Probability that he will be admitted to college B is 0.75.Probability that he will be admitted to both colleges is 0.05.What is the probability that Jim will be admitted to at least one of the two colleges?

The probabilities that Amar and Abdul get promoted are 0.7 and 0.9 respectively. What is the probability that at least one of them gets promoted?0.960.970.980.95

In a college course, three different professors are teaching their classes: Professor A, Professor B, and Professor C. Students are enrolling in one of these courses, and the following probabilities are known: • The probability that a randomly selected student is in Professor A's class is 0.4. • The probability that a randomly selected student is in Professor B's class is 0.3. • The probability that a randomly selected student is in Professor C's class is 0.3. Students have also reported their satisfaction with the course, particularly in terms of teaching quality: • 80% of students in Professor A's class report excellent teaching quality. • 60% of students in Professor B's class report excellent teaching quality. • 70% of students in Professor C's class report excellent teaching quality. Now, if a student is satisfied with their course's teaching quality, what is the probability that they are enrolled in Professor A's class?

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?