Combinatorics - math word problems - page 53 of 55
Number of problems found: 1085
- Probability - defective parts
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 - 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 - Counting hairs
Find out if two people in Bratislava have the same number of hairs on their heads. Instructions. Bratislava has about 420,000 inhabitants, and a person has less than 300,000 hairs on his head. - Error rate
The exam has six questions. Students have an error rate of 20% and can have a maximum of 1 question wrong. What is the probability that they will succeed? - Tile defect probability
The factory produces 35% of the tiles on line A, which produces scrap with a probability of 0.02, and 65% on line B, where the probability of scrap is 0.03. What is the probability that the selected tile will be defective? - Z6 – I – 6 MO 2019
Mother studied multi-digit numbers in which odd and even digits regularly alternate. Those that start with an odd digit she called comical and those that start with an even digit she called cheerful. (E.g. The number 32387 is comical, the number 4529 is c - Question knowledge probability
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3. - Product conforming probability The probability that a quality product will meet all technical requirements is 0.95. What is the probability that all three randomly produced products will be: a) conforming, b) non-conforming
- Position of digits
Find a number with six digits. If you put the last digit before the first, you get a new number that is five times larger. The digits between must not change their position. - Nine-digit numbers
Determine the number of nine-digit numbers in which each of the digits 0 through 9 occurs at most once and in which the sums of the digits 1 through 3, 3 through 5, 5 through 7, and 7 to the 9th place are always equal to 10. Find the smallest and largest - Family
Ninety-four boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children. - Balls
We have n identical balls (numbered 1-n) selected without replacement. Determine 1) The probability that at least one tensile strength number coincides with the number of balls? 2) Determine the mean and variance of the number of balls, which coincides wi - TV fail
After 10,000 hours, the TV has an average of 25 failures. Find the probability of TV failure after 400 hours of operation. - Drinks
In a country, 65% of people drink coffee, 50% drink tea, and 25% drink both. What is the probability that a person chosen at random will drink neither tea nor coffee? - We are planting
We are planting 2 types of roses (white and red). Experience shows that the probability of a red rose sprouting is 0.7. A total of 5 seedlings are planted. What is the probability that: a) the first 2 will be red and the next white b) all will be red c) n - Seed plant probability 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?
- Circles
How many different circles are determined by 14 points at the plane if 3 of them lie in a straight line? - Birthday paradox
How large is the group of people so that the probability that two people have a birthday on the same day of the year is greater than 90%? - Sales
From statistics of sales goods, item A buys 77% of people, and item B buys 58% of people. What is the probability that from 15 people buy 8 item A and 7 item B? - 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.
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