# Combinatorial number - practice problems

#### Number of problems found: 293

- Defect rate

A manufacturing machine has a 3% defect rate. If 9 items are chosen randomly, what is the probability that at least one will have a defect? - A basket 4

A basket contains 9 fruits, where 4 are oranges, and the rest are mangoes. Three fruits are taken out one at a time and put aside. Find the probability that 3 are oranges. - A ferry

A ferry with a capacity of 10 people takes a group of 13 men and 7 women across a river. Find the number of ways in which the group may be taken across the if all women go on the first group. - Two dice 3

Two dice are thrown together. What is the probability that the number obtained on one of the dice is a multiple of the number obtained on the other dice? 2/3 9/36 12/36 11/18 - Student examination

How many ways can a teacher select a group of 6 students to sit in the front row if the class has 13 students? - How many 31

How many ways can a teacher select a group of 3 students to sit in the front row if the class has 13 students? - 52 cards

A hand of five cards is dealt from a pack of 52 playing cards. How many different hands can be dealt that contain three aces? - A disease

A disease affects 10% of the individuals in a population, and a sample of 100 people was selected from the population. What is the probability of finding the disease in at least 15 people? - Manufacturing company

It is established by the production manager of a manufacturing company that 2 out of every 20 units of a particular product are faulty. In a particular production hour, 8 units of the product were produced. Determine the probability that: (1) none of them - Containers

One in eight containers is temporarily misplaced. A random sample of 12 containers is selected. What is the probability that 6 of these containers will be temporarily misplaced? - Probability 83267

The cube has 6 blue, 8 red, and 10 green balls. The player randomly draws 3 balls. Determine the probability that he draws balls of the same color. - Possibilities 82372

A hockey match played for three periods ended with a score of 2:3. How many possibilities are there on how the given thirds could have been completed? - Competition 82310

In the shooting competition, each shooter fires 5 shots. Shooter Muška will hit the target with one shot with a probability of 60%. What is the probability that he hits at least once out of five shots? - Possibilities 81788

The ring consists of 4 beads. There are 5 different colors of beads in the package. How many possibilities are there to create one ring, and can the colors repeat? - Participated 81728

The school volleyball tournament was played on a one-on-one basis. One match lasted 15 minutes, and 3 hours and 45 minutes were played. Calculate how many teams participated. - Probability 81685

There are 49 products in the box, of which only 6 are good. We will randomly draw 6 products from them. What is the probability that at least four of the products drawn are good? - 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? - 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? - Participants 80965

After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting?

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