Combinatorial number - practice problems - page 6 of 16
Number of problems found: 307
- Probability 38041
Seven women and 3 men work in one office. According to the new regulation, reducing the number of employees by three is necessary. In a random sample of employees, what is the probability that they will be fired: a. One woman and two men b. At least one w - Four children
What is the probability that in a family with four children, there are: a) at least three girls b) at least one boy, If the probability of a boy is 0.51? - Guaranteed 37611
Determine how many different ways a Lotto ticket can be written if we guess six numbers out of 49. At what Jackpot would it already pay to bet so many tickets to be guaranteed to win the 1st prize? The price of one type is €1. - Selected 37601
V III. There are 22 students in the FPR class. How many ways can four students be selected for a DVK class exam? - Commission 37591
Out of 10 candidates, we must select three for the commission. How many ways can this be done? - Thirteen 37581
Thirteen skiers compete in the big slalom. The first four advance to the finals. How many options are there? - The six
The six boys will be led up the hill by a two-seater lift. How many options are there?
- Different 37541
There are 15 boys and 20 girls in the brigade. How many different services can be specified if one girl and two boys are on the service? - Doesn't 37531
How many ways can you draw eight playing cards from 32 playing cards when their order doesn't matter? - Covid-19
Data showed that 22% of people in a small town were infected with the COVID-19 virus. A random sample of six residents from this town was selected. Find the probability that exactly two of these residents were infected. - Probability 37381
The machine produces one part in 2 minutes. The probability that it is defective is 0.05. What probability will the machine produce exactly ten defective parts per shift (8 hours)? - Doctors
The drug successfully treats 90% of cases. Calculate the probability that it will cure at least 18 patients out of 20. - Seeds
The germination of seeds of a certain species of carrot is 96%. What is the probability that at least 25 seeds out of 30 will germinate? - Possibilities 36911
There are seven fountains in the city. Only five always work. How many possibilities do five fountains work at the same time? - Arithmetic 36901
The examiner has prepared 20 examples from arithmetic. He wants to choose seven samples for the paper. The order of the examples does not matter. How many different papers can he compile?
- Different 36891
We put seven different things out of fifteen various goods in the shopping cart. How many cart content options occur? - Students 36881 As a reward, the trip's land is ten students from a class of 25 students. How many options are there?
- Books - triplets
I will choose three from ten different books. How many different triplets can I choose? - Wimbledon finals
Serena Williams made a successful first serve 67% of the time in a Wimbledon finals match against her sister Venus. If she continues to serve at the same rate the next time they play and serves six times in the first game, determine the probability that: - Seedbeds The father wants to plant two seedbeds of carrots and two seedbeds of onion. Use a tree chart to find how many different options he has for placing the seedbeds.
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