Combinatorics - math word problems - page 53 of 55
Number of problems found: 1084
- 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 - 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 - Instructions 10282
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. - 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. - 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 - Probability 81677
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? - Doctors
The drug successfully treats 90% of cases. Calculate the probability that it will cure at least 18 patients out of 20. - Probability 30271
The probability of an adverse drug reaction is 2.1%. How many people need to be prescribed for one patient to experience side effects with a chance of 90%? - 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? - Non-conforming 19863
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 - 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? - 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 - 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? - 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. - Sales
From statistics of sales goods, item A buys 57% of people, and item B buys 76% of people. What is the probability that from 18 people buy 10 item A and 8 item B? - 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. - Family
What is the probability that a family with 3 children has: exactly 1 girl? 2 girls and 1 boys? Consider the birth probability of a girl as 48.66% and a boy as 51.34%. - Double probability
The probability of success of the planned action is 60%. What is the probability that we will achieve success at least once if this action is repeated twice? - Circles
How many different circles are determined by 14 points at the plane if 3 of them lie in a straight line?
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