Combinatorics - math word problems - page 37 of 39
Number of problems found: 763
- Lines
In how many points will intersect 14 different lines, where no two are parallel?
- Covid-19
Data showed that 22% of people in a small town were infected with the COVID-19 virus. A random sample of six residents from this town was selected. Find the probability that exactly two of these residents were infected.
- Component fail
There is a 90 percent chance that a particular type of component will perform adequately under high temperature conditions. If the device involved has four such components, determine the probability that the device is inoperable because exactly one of the
- Probability 68594
What is the probability that any two-digit number a) is divisible by five, b) is not divisible by five?
- Probability - tickets
What is the probability when you have 25 tickets in 5000 that you not wins the first (one) prize?
- Internet anywhere
In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least 6 students have access to the internet
- Three robots
In a workshop, three robots, Q, R and S, are employed to make chairs Robot Q makes 25% of the chairs Robot R makes 45% of the chairs The remaining chairs are made by Robot S Evidence has shown that 2 percent of the chairs made by robot Q are d
- Students and exam
In a certain college accounting is one of the courses, among the accounting students 60% are male among the male students 75% passed in the exams while among the female 50% failed. (a) present this using a probability tree diagram (b) determine probabilit
- Error rate
The exam has 6 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?
- The vaccination
The vaccination coverage of the population is 80%. Unvaccinated make up 60% of all infected. What percentage are unvaccinated more likely to be infected? Consider N = 10,000 inhabitants and K = 1,000 infected. b. How many times more likely are unvaccinate
- Prisoners
It is estimated that 10% of all federal prisoners have a positive self-image, 40% have a neutral self-image, and the rest have a negative self-image. The estimated probability of rehabilitating a prisoner with a negative self-image is 0.1. With a neutral
- Sales
From statistics of sales goods, item A buy 51% of people and item B buys 59% of people. What is the probability that from 10 people buy 2 item A and 8 item B?
- Doctors
The drug successfully treats 90% of cases. Calculate the probability that he 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%?
- Family
94 boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
- 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.
- Probability 73054
We roll six dice. What is the probability that: a) a six falls twice b) six falls four times
- Dice
We throw five times the dice. What is the probability that six fits exactly twice?
- 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 where there are 30 participants?
- Probability 7628
The probability that six will fall in just three rolls is once?
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