Binomial coefficient - practice problems - page 8 of 12
Number of problems found: 239
- Component deviation probability
There are 200 components in the production batch, of which 26 have a plus deviation from the nominal value. Calculate the probability that none of the 10 products selected will have a positive variance if we make selections without repetition - Points in space
There are n points, of which no three lie on one line and no four lies on one plane. How many planes can be guided by these points? How many planes are there if there are five times as many as the given points? - Flower watering options
Alena, Ivana, Edo, Philip, and Martin came late to school. As a punishment, two will water flowers all over the school after class, and the other three will clean up the classroom. The class teacher couldn't decide who to send to water the flowers, so Geo - Tournament
How many matches will be played in a football tournament in which there are two groups of 5 teams if one match is played in groups with each other and the group winners play a match for the tournament's overall winner? - Wagons
We have six wagons: two white, two blue, and two red. We assemble trains from them; wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train because I don't know any difference. How many di - Six questions test
There are six questions in the test. There are three answers to each - only one is correct. To take the exam, students must answer at least four questions correctly. Alan didn't learn, so he circled the answers only by guessing. What is the probability th - Ticket code combinations
Tickets have 9 numbered windows. How many different codes can be set for each other if 3 or 4 windows are punched? - Probability
In a batch of 500 products, there are 10 defective items. In a statistical inspection, 40 products are selected at random from the batch without replacement. The batch is considered satisfactory if there is at most one defective product among the 40 inspe - Research in school
For particular research in high school, four pupils are selected from a class of 30 pupils. Calculate the number of all possible results of the selection and further calculate the number of all possible results if it depends on the order in which the stud - Probability of failures
The probability of failure in specific productions is 0.01. Calculate the likelihood of more than one failure among the 100 selected products if we return them to the file after the check. - Probability - products
Based on previous inspection, it is known that 3% of defective products occur during the manufacturing of a certain product. a) Calculate the probability that among 100 randomly selected products there are exactly 2 defective ones, assuming each product i - Component failure probability
The daily product consists of 1000 components, and the probability of failure of any component during the use of the device is 0.001. It does not depend on other components. What is the probability of failure of two components in the investigated period o - All use computer
It is reported that 72% of working women use computers at work. Choose three women at random, and find the probability that all three women use a computer in their jobs. - Product selection ways
There are 11 products in the box, of which just four are defective. How many ways can we choose five products so that at least four are not faulty? - Team formation ways
Determine in how many ways a four-member team can be chosen from 6 men and 4 women, such that there are exactly 2 men on the team. - Table and chairs
Four people should sit at a table in front of a row of 7 chairs. What is the probability that there will be no empty chairs between them if people randomly choose their place? - Number selection probability
If we choose four numbers from 1 - 20, what is the probability that 6 or 10 will be among them? - Combinatorial examples 1. In the class you have 15 pupils. In how many ways can we select four for examination? 2. In how many ways can we select from seven-card cards (32 cards) any two cards? 3. In how many ways can we divide 12 pupils into two six-member teams? 4. In how man
- Delegation - b&g
There are 22 girls and nine boys in the class. How many ways can a delegation be created with three girls and one boy? - Student testing ways
There are 30 students in the class, three of whom will be tested. How many ways are possible if their order does not matter?
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