Combinatorics - math word problems - page 46 of 54
Number of problems found: 1080
- Probability of malaria
A survey carried out at a certain hospital indicates that the probability that a patient testing positive for malaria is 0.6. What is the probability that two patients were selected at random (i) one is negative while the other tested positive (i) both pa - Constructed 67424
There are six lines 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm long, two of each length. How many isosceles triangles can be constructed from them? List all options. - Probability 38083
The police solved 21 crimes in the monitored period. The probability of solving a crime is 0.64. What is the probability that the police: a) just solved 7 crimes b) did not solve at least 2 criminal offenses P.S. Let's assume ideal police officers - Probability 30311
There are 200 components in the production batch, of which 26 have a plus deviation from the nominal value. Calculate the probability that none of the 10 products selected will have a positive variance if we make selections without repetition - Digits
Write the smallest and largest 2-digit natural number. - 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 - Crimson Lynx
Captain Emily has a ship, the H. M. S Crimson Lynx. The ship is five furlongs from the dread pirate Umaima and her merciless band of thieves. If her ship hasn't already been hit, Captain Emily has a probability of 3/5 of hitting the pirate ship. If her sh - Six segmants
Given are 6 line segments with lengths of 3 cm, 4 cm, 5 cm, 7 cm, 8 cm, and 9 cm. How many equilateral triangles can make from them? List all the options. - Probability In the election, 2400000 voters out of a total of 6000000 voters voted for party Z. Let us randomly select three voters and consider the random variable ξ={number of voters of party Z in the sample of three voters}. Determine a) the probability distributi
- Probability 8376
Three players roll the dice. They can start the game when a six is rolled. Everyone rolls 1 time. a) What is the probability that exactly one starts in the first round? b) What is the probability that at least two start? - 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. - 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? - 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? - Product 3DN
How many three-digit numbers are there whose product of digits is 5? - 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? - 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. - Triangles
Five sticks with a length of 2,3,4,5,6 cm. How many ways can you choose three sticks to form three sides of a triangle? - Probability 1775
The company has produced 500,000 cars so far, of which 5,000 were defective. What is the probability that at most one car out of 50 cars in daily production will be defective? - 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).
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