Combinatorics - math word problems - page 56 of 57
Number of problems found: 1135
- 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 - 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 - Question knowledge probability
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3. - Circles
How many different circles are determined by 14 points at the plane if 3 of them lie in a straight line? - 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. - Birthday paradox
How large must a group of people be so that the probability of at least two people sharing a birthday is greater than 90%? - 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? - 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? - 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? - Seeds
We randomly selected ten seeds from a box of spruce seeds with an 80% germination rate and planted them. Find the median of the random variable, the number of germinating seeds. - 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. - 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%. - Alarm systems
What is the probability that at least one alarm system will signal the theft of a motor vehicle when the efficiency of the first system is 90% and of the independent second system 80%? - Left handed
It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar with 30 participants? - The number - digits
Vera formed different three-digit numbers from three given digits. When she added up all these numbers, the sum was 1554. What digits did Vera use? - Probability - coin
When tossing a coin 4 times in a row, what is the probability that a sign will come up 3 times? - Dice
We throw five times the dice. What is the probability that six fits precisely twice? - Avocado seed probability
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? - Probability - dices
We roll six dice. What is the probability that: a) a six falls twice b) six falls four times - Dice - 5 times We roll the dice five times. Make sentences: a) 3 events that definitely cannot happen. Write a reason for each. b) 3 events that will definitely occur; write a reason for each. Another problem: 3 events that may or may not occur for each. Write a reason.
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