Evie was doing an experiment for her biology class. She determined that if she randomly selected a student from the class, the probability that they had brown hair was 0.5, the probability that they had blue eyes was 0.57, and the probability that they had neither brown hair nor blue eyes was 0.2. Determine the probability that a randomly selected student has brown hair and blue eyes.

The probability Kayla will score above 80% on a mathematics test is 0.60. Kayla will take five tests this semester. We want to find the probability she will score above 80% on exactly four out of the five tests. What is the probability of Kayla scoring above 80% on exactly four out of the five tests?

A common lab test during a medical exam is a blood count. The two main aspects are counting the number of white blood cells and differentiating white blood cells into several categories. One of the categories is neutrophils. Suppose 60% of white blood cells are neutrophils in a healthy person. What is the probability of seeing 2 neutrophils in a sample of three white blood cells from a healthy person? What is the probability of seeing 2 or fewer?​

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?

75% of American adults received a speeding ticket. If a random sample of 20 adults is selected, find the probability that exactly 16 received a speeding ticket.

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?

If she made the last free throw, then her probability of making the next one is 0.6. On the other hand, If she missed the last free throw, then her probability of making the next one is 0.5.

Delaney is about to take a final exam that consists of 20 questions. To motivate her to study, her parents promised her $500 if she gets at least 17 questions right. The questions are multiple choice and the probability of her getting a question right is 0.75 on each question of the final exam. What is the probability that she gets exactly 17 questions right? What is the probability that she gets at least 17 questions right?

At a cell phone assembly plant, 85% of the cell phone keypads pass inspection. A random sample of 122 keypads is analyzed. Find the probability that less than 88% of the sample keypads pass inspection.