Combinatorial number - practice problems - page 2 of 15
Number of problems found: 296
- 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?
- Probability 80860
During the exam, the student takes 3 questions out of 20. He is ready for 14 of them. Find the probability that he draws at least one that he knows.
- Probability 80856
The probability of occurrence of a certain phenomenon is the same in all trials and is equal to 0.7. Attempts are repeated until this phenomenon occurs. What is the probability that we will have to make a fifth trial?
- Effectiveness 80811
According to clinical studies, the effectiveness of the drug is 90%. The doctor prescribed the medicine to eight patients. What is the probability that the drug will be effective in all these patients?
- Manufacturer 80810
The manufacturer indicates that the germination rate of the pepper seeds is 68%. What is the probability that a) out of ten seeds sown, at least 8 will germinate? b) will at most 3 sprouts out of ten seeds be sown?
- Combinations 80637
If the number of elements decreases by 4, the number of combinations of the second class from these elements decreases three times. How many elements are there?
- Positive integer integral
How many different sets of a positive integer in the form (x, y, z) satisfy the equation xyz=1400?
- Probability 80560
I have 3 sources, and their failure probability is 0.1. Calculate the probability that: a) none will have a malfunction b) 1 will have a breakdown c) at least 1 will have a fault d) they will all have a breakdown
- Dishes
The HOD is to test at least three different dishes out of five before scoring the students. How many ways can he choose the dishes?
- The triangle 5
The triangle below has vertices A(-1,-2), B(2,2), and C(-1,4). What is the area of △ABCin square coordinate units?
- The chief
The chief fisherman, Peter, estimates that if he uses four lines, then the probability of making a catch on one line is 0.7. If he uses five lines, then the probability of making a catch on any line is 0.6. If he uses six lines, the probability of making
- Yarhands
Yarhands Statistical Consult conducted statistical analysis on the election results from 1992 to 2012 to assess the chances of the NPP winning the election in Ghana's Volta region. The research reveals that 15% of inhabitants in the Volta region favor the
- Bernoulli trial
A used car saleswoman estimates that each time she shows a customer a car, there is a probability of 0.1 that the customer will buy the car. The saleswoman would like to sell at least one car per week. If showing a car is a Bernoulli trial with a probabil
- A committee
A committee of 6 is chosen from 8 men and 7 women. If a particular man must be included, find how many committees are possible.
- Probability 73714
I roll six six-sided dice; what is the probability that exactly three threes will fall?
- A bag 2
A bag contains seven green and eight red jellybeans. How many ways can five jellybeans be withdrawn from the bag so that the number of green ones withdrawn will be less than 4?
- Competition 73174
There are 10 students in the class, of which 8 are girls and two are boys. We want to select three for the competition. What is the probability that they will be: a) 2 girls and 1 boy b) 1 girl and 2 boys c) 3 girls d) 3 boys e) at least 2 girls
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