In a certain college, 20% of the physics majors belong to ethnic minorities.  If 10 students selected at random from the physics majors, what is the probability that at least 3 belong to ethnic minorities?

In a large population, 40 % of the people have been vaccinated. If 4 people are randomly selected, what is the probability that AT LEAST two of them has been vaccinated?

At a large university, 35 % of the students own a tablet. If 7 students are randomly selected, what is the probability that AT LEAST ONE of them has own a tablet?

in a certain county in Michigan, the rate of vaccinated school-aged children is 86%. If 30 children are to be randomly chosen from this county then what is the probability that 25 of them will be vaccinated?

In a large population, 70 % of the people have been vaccinated. If 5 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

In one town, 61% of adults have health insurance. What is the probability that 5 adults selected at random from the town all have health insurance?

A shipment contains 10​ igneous, 8 ​sedimentary, and 8 metamorphic rocks ... If 5 rocks are selected at​ random, find the probability that exactly 3 are sedimentary

an after-school club consists of 10 juniors and 7 seniors. If 4 students are chosen at random to represent the club at a school fair, what is the probability that at least one student from each class level is selected?

10 students from each of Engineering, Science, Humanities, and Social Science were nominated to represent their faculties. 9 of these 40 students will be randomly chosen to be on the student council. Find the probability that at least one of the four faculties will be unrepresented on the student council.

In a large population, 53% of the people have been vaccinated. If 3 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?