If the probability of a student taking a math class is 0.40, the probability of taking a physics class is 0.30, and the probability of taking a math class and a physics class is 0.02, what is the probability of a student taking a math class or a physics class?

A city uses three pumps to carry water from a river to a reservoir. Pumps A and B are new, and have a probability of failing of 0.015 on any day. Pump C is older, and has a probability of failure of 0.08 on any day. Pumps A and B operate Monday-Friday. On Saturday, pumps A and C operate while pump B is serviced. On Sunday, pumps B and C operate while pump A is serviced. Answer the following questions, assuming that the pumps operate independently of one another, and independently from day to day. Determine the probability that pump A works on a day that it is in use. Find the probability that pumps A and B both fail on a day they are both in use. Compute the probability that at least one pump fails on any Sunday. Find the probability that pump A works, and C fails on any Saturday. Determine the probability that no pumps fail in a week.

Ali has taken two books with him for holiday. The probability of liking the first book is 0.5, the probability of liking the second book is 0.4, the probability of liking both books is 0.3. What is the probability that Ali does not like both books?

The probability that a student passes mathematics is 2/3 and the probability that he passes biology is 3/4. if the probability of passing both courses is 1/2, what is the probability that he will pass either one of the courses?

Political scientists want to determine the probability of exactly 3 out of the next 5 voters they meet approving a proposal. If the sample probability of the voters approving the proposal is 50%, the number of trials is and the number of successful trials is The probability that 3 out of the next 5 voters approving the proposal is

Lydia is a project manager and submitted proposals for two different projects, Project X and Project Y to her boss. The probability of getting project X approved is 0.65. The probability of getting project Y approved is 0.77. The probability of getting at least one of the projects approved 0.90. The two projects are independent. True or False

An anthropologist wants to determine the probability that exactly 15 out of 25 ancient civilizations collapsed because of poor leadership. If the probability of the civilizations collapsing because of poor leadership is 72%, the number of trials is and the number of successful trials is The probability that exactly 15 out of 25 civilizations collapsed because of poor leadership is

The only grades possible in a history course are A, B, C,D,F. The probability that a student will get an A is 0.19. The probability of getting a B is 0.31. The probability that a student will get a C is 0.28. The probability that the student will get a D is 0.18, and the probability of getting an F is 0.04 (a) what is  the probability that a student will an A or F.? (b) what is the probability that a person will get an A or B or C? (c) what is the probability that a student will get a C or a D? round your answer to decimal places

John can take one of two highways, Interstate A and Interstate B, to get to work each day. The probability that there will be a traffic jam on Interstate A on a given day is 0.65, and the probability that there will be a traffic jam on Interstate B is 0.2. The probability that there will be a traffic jam on at least one of Interstate A or Interstate B is 0.8. Determine the probability that both Interstate A and B will be congested. 0.235 None in the list 0.050 0.062 0.765 Submit Answer Tries 0/3 Determine the probability that Interstate B is congested given that Interstate A is congested. 0.250 0.077 0.812 0.062 None in the list Submit Answer Tries 0/3 Determine the probability that there is a traffic jam on Interstate A given that at least one of the Interstates has a traffic jam. 0.062 None in the list 0.250 0.812 0.077

There is about a 10% chance of being left- handed. If there are 25 students in a class, find the probability that no more than 3 are left-handed.