# Combinatorics - math word problems - page 50 of 52

Combinatorics is a part of mathematics that investigates the questions of existence, creation and enumeration (determining the number) of configurations.It deals with two basic tasks:

How many ways can we select certain objects

How many ways can we arrange certain objects

#### Number of problems found: 1025

- The vaccination

The vaccination coverage of the population is 80%. Unvaccinated make up 60% of all infected. What percentage are unvaccinated and more likely to be infected? Consider N = 10,000 inhabitants and K = 1,000 infected. b. How many times more likely are unvacci - Internet anywhere

In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least six students have access to the internet - Prisoners

It is estimated that 10% of all federal prisoners have a positive self-image, 40% have a neutral self-image, and the rest have a negative self-image. The estimated probability of rehabilitating a prisoner with a negative self-image is 0.1. With a neutral - Error rate

The exam has six questions. Students have an error rate of 20% and can have a maximum of 1 question wrong. What is the probability that they will succeed?

- Doctors

The drug successfully treats 90% of cases. Calculate the probability that it will cure at least 18 patients out of 20. - Determine 55891

Determine the number of nine-digit numbers in which each of the digits 0 through 9 occurs at most once and in which the sums of the digits 1 through 3, 3 through 5, 5 through 7, and 7 to the 9th place are always equal to 10. Find the smallest and largest - Position 81987

Find a number with six digits. If you put the last digit before the first, you get a new number that is five times larger. The digits between must not change their position. - Instructions 10282

Find out if two people in Bratislava have the same number of hairs on their heads. Instructions. Bratislava has about 420,000 inhabitants, and a person has less than 300,000 hairs on his head. - Probability 81677

The probability that a plant will grow from a seed is 75%. What is the probability that 5 plants will grow if we assemble 6 seeds?

- Probability 30271

The probability of an adverse drug reaction is 2.1%. How many people need to be prescribed for one patient to experience side effects with a chance of 90%? - The university

At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in the - Questions 81676

You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3. - Probability 81115

The probability of sprouting each avocado pit is 0.9. We planted 3 stones. What is the probability that exactly two of them will sprout? - Non-conforming 19863

The probability that a quality product will meet all technical requirements is 0.95. What is the probability that all three randomly produced products will be: a) conforming, b) non-conforming

- Sales

From statistics of sales goods, item A buys 51% of people, and item B buys 59% of people. What is the probability that from 10 people buy 2 item A and 8 item B? - Family

Ninety-four boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children. - Probability 83638

When tossing a coin 4 times in a row, what is the probability that a sign will come up 3 times? - TV fail

The TV has average 30 failures after 10,000 hours. Find the probability of TV failure after 300 hours of operation. - Probability 73054

We roll six dice. What is the probability that: a) a six falls twice b) six falls four times

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