Combinatorics - math word problems - page 53 of 54
Number of problems found: 1077
- 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?
- 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?
- 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?
- 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%.
- 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?
- Probability - coin
When tossing a coin 4 times in a row, what is the probability that a sign will come up 3 times?
- Circles
How many different circles are determined by 11 points at the plane if 7 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%?
- 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%?
- Three shooters
Three shooters shoot, each time, on the same target. The first hit the target with 0.7, the second with 0.8, and the third with 0.9 probability. What is the probability of hitting the target: a) just once b) at least once c) at least twice
- The number - digits
The vortex of the three given digits formed different three-digit numbers. When she added up all these numbers, she published 1554. What numbers did Vierka use?
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