Knowee
Questions
Features
Study Tools

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?

Question

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?

...expand
🧐 Not the exact question you are looking for?Go ask a question

Solution

The probability that Jim will be admitted to at least one of the two colleges can be calculated using the formula for the probability of the union of two events: P(A U B) = P(A) + P(B) - P(A ∩ B).

Here, P(A) is the probability that Jim will be admitted to College A, which is 0.10. P(B) is the probability that Jim will be admitted to College B, which is 0.75. P(A ∩ B) is the probability that Jim will be admitted to both colleges, which is 0.05.

Substituting these values into the formula, we get:

P(A U B) = P(A) + P(B) - P(A ∩ B) = 0.10 + 0.75 - 0.05 = 0.80.

So, the probability that Jim will be admitted to at least one of the two colleges is 0.80 or 80%.

This problem has been solved

Similar Questions

In a certain liberal arts college with about 10,000 students, 40% are males. If two students from this college are selected at random, what is the probability that they are both males? 0 0.16 0.80 0.64 0.25

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

At a local community college, 50% of students who enter the college as freshmen go on to graduate. Ten freshmen are randomly selected, what is the probability that none of them graduates from the local community college (round your answer to four decimal places)

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

If the probability that student A will pass an exam is 0.7, and the probability that student B will pass the same exam is 0.6, and the probability that both students will pass the exam is 0.5. What is the probability that at least one of them will pass?*1 point0.700.800.650.85

1/3

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.