Combinatorics - math word problems - page 39 of 40
Number of problems found: 792
- 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
- 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?
- Dice
We throw five times the dice. What is the probability that six fits exactly twice?
- Probability 7628
The probability that six will fall in just three rolls is once?
- Circles
How many different circles are determined by 9 points at the plane if 6 of them lie in a straight line?
- Drinks
In a country 65% of people drink coffee 50% drink tea 25% drink both. What is the probability that a person chosen at random will drink neither tea nor coffee?
- Birthday paradox
How large must the group of people be so that the probability that two people have a birthday on the same day of the year 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?
- TV fail
The TV has average 35 failures after 10,000 hours. Find the probability of TV failure after 400 hours of operation.
- 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%?
- The university
At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in the
- Three shooters
Three shooters shoot, each one time, on the same target. The first hit the target with a probability of 0.7; second with a probability of 0.8 and a third with a probability of 0.9. What is the probability to hit the target: a) just once b) at least once c
- Family
What is the probability that a family with 3 childrens have: exactly 1 girl? 3 girls and 0 boys? Consider the birth probability of a girl is 48.61% and boy 51.39%.
- Probability 71174
Find the probability that one will fall at least once in three rolls.
- All use computer
It is reported that 72% of working women use computers at work. Choose 3 women at random, find the probability that all 3 women use a computer in their jobs.
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