Combinatorics - math word problems - page 45 of 52
Number of problems found: 1029
- Genetic disease
One genetic disease was tested positive in both parents of one family. It has been known that any child in this family has a 25% risk of inheriting the disease. A family has three children. What is the probability of this family having one child who inher - Families 2
Seven hundred twenty-nine families have six children each. The probability of a girl is 1/3, and the likelihood of a boy is 2/3. Find the number of families having two girls and four boys. - Probability 80856
The probability of occurrence of a certain phenomenon is the same in all trials and is equal to 0.7. Attempts are repeated until this phenomenon occurs. What is the probability that we will have to make a fifth trial? - Functionality 24461
The daily product consists of 1000 components, and the probability of failure of any component during the use of the device is 0.001. It does not depend on other components. What is the probability of failure of two components in the investigated period o
- Distribution 6282
The waiting time in the buffet is governed by the normal distribution with a mean value of 130 seconds and a variance of 400. What is the probability that someone will wait less than a minute and a half? - Different 64304
If the boys let the two girls in front of them, how many different ways can Anka, Betka, Cyril, Daniel, and Erik line up in the dining room? - Bulb lifespan
The probability that the bulb will burn for more than 800 hours is 0.2. There are 3 light bulbs in the hallway. What is the probability that after 800 hours, at least one will be lit? - Bernoulli distribution
The production of solar cells produces 2% of defective cells. Assume the cells are independent and that a lot contains 800 cells. Approximate the probability that less than 20 cells are defective. (Answer to the nearest three decimals). - Probability
How probable is a randomly selected three-digit number divisible by five or seven?
- Lines
How many lines can be drawn with 8 points if three points lie on one line and the other any three points do not lie on the same line? - Keyboards keys
Michael had small keys on the shelf, which you can see in the picture. Their tones were marked on the white keys. Little Clara found the keys. As she took them off the shelf, they fell out of her hand, and all the white keys spilled out. So that the broth - Zubrohlava 39643
From Zubrohlava to Bobrov, there is one asphalt road, two forest roads, and one bike path. Find the number of ways we can get from Zubrohlava to Bobrov and back. List all options. - Probability 4665
We have three series of products. We select one product for quality control. Determine the probability of finding a low-quality product if the first batch contains 2/3, the second batch 7/9, and the third batch 3/4 quality products. - The triangle 5
The triangle below has vertices A(-1,-2), B(2,2), and C(-1,4). What is the area of △ABCin square coordinate units?
- Probability 81685 There are 49 products in the box, of which only 6 are good. We will randomly draw 6 products from them. What is the probability that at least four of the products drawn are good?
- Probability 80857
During the exam, the student answers 4 questions out of 25. He is ready for 20 of them. Find the probability that he draws exactly one that he does not know. - Alopecia
Medical literature indicates that 45% of men suffer from alopecia. For a random sample of 8 men, calculate the probability that: (a) exactly four men suffer from alopecia. (b) at most, two men suffer from alopecia. - Probability of failures The probability of failure in specific productions is 0.01. Calculate the likelihood of more than one failure among the 100 selected products if we return them to the file after the check.
- Probability 80860 During the exam, the student takes 3 questions out of 20. He is ready for 14 of them. Find the probability that he draws at least one that he knows.
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