Combinatorial number - practice problems
Number of problems found: 307
- 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? - 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? - 9 rectangles
A large rectangle is divided into 9 small rectangles. How many rectangles are there in total? - Footballers 2
Footballers have jerseys with numbers 7, 8, 9, 10, 11. The coach wants to send them to attack a) so that even jersey numbers are not next to each other b) so that odd jersey numbers are not next to each other. How many options does he have? - In class 24
There are a total of 16 students in the class, a quarter of whom are girls. We randomly select a team of five. Determine the probability that the team will have: a) at least 4 girls. b) at most 1 girl. c) no girls. - Christmas 4
There are only 3 packages left under the tree - two for Julka and one for Zuzka. Julka took two at once. What is the probability that both belong to her? - How many 172
How many five-digit numbers are there that have exactly 2 fours and exactly 3 sevens in their notation? - Green cards We draw 4 cards from 32 cards. In how many ways can we draw a) exactly 2 aces, b) 3 green ones
- In the shipment
There are 40 products in the shipment. Of these, 4 are defective. In how many ways can we select 5 products so that exactly 3 of them are good? - Grouping - combinatorics In how many different ways can 24 people be divided into: a) 6 groups of the same size. b) Groups of 5, 6, 7, and 6 people. c) Groups of 4, 5, 7, and 8 people.
- Bulb lifespan
The probability that the bulb will burn for more than 800 hours is 0.2. There are 3 light bulbs in the hallway. What is the probability that after 800 hours, at least one will be lit? - Playmakers + coach
In a basketball game, two pivots, two wings, and one point guard play. The coach has three pivots, four wing players, and two playmakers available on the bench. How many different five players can a coach send to the board during a game? - Probability 83308 There are 10 parts in the box, and 3 of them are defective. Let's choose 4 components at random. What is the probability that it will be among them a) 0 defective, b) just one defective component, c) just two defective components, d) exactly 4 defective c
Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
See also our combinations calculator.
