Intersection of sets - practice problems - page 4 of 10
Number of problems found: 191
- Probability 68574
The target is divided into three zones. The probability of a shooter hitting the first band is 0.18, the second band 0.2, and the third band 0.44. What is the probability that a) hits the target, b) miss the target? - Cancer in woman population
In a particular population of women, 40% have had breast cancer, 20% are smokers, and 13% are smokers and have had breast cancer. If a woman is selected at random from the population, what is the probability that she has breast cancer, smokes, or both? - Operations 66444
Consider an experiment with a dice. Let us define the random events A={at most 3}, B={roll more than 1}, C={roll 2, 3, 4}. Determine the random event D that is given by the operations A∪B \ B∪C - Hypotenuse 65744
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm - All multiples Set A is a set of all multiples of 2, and set B is a set of all multiples of 3. If the P (A)=0.6 and P (B)=0.3. Find P (AUB).
- Probability Two duelists have agreed to fight at a designated location between (6:00 and 7:20). One of them will wait 8 minutes after arriving at the location and then leave. The other will wait for his opponent for 16 minutes and then leave. What is the probability
- 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?
- Employees 4 Of 125 employees, 102 are assigned to perform ONLY ONE programming job, either system programming or application programming. Ten employees are not assigned to perform any of those programming jobs. Overall, 52 employees are given to perform ONLY system p
- Corresponding
The set Z contains all natural numbers that are less than 11. Set A contains all even numbers belonging to the set Z. Set B is the set of all numbers that are multiples of 5 belonging to Z. Write all elements of the set Z in the corresponding dowry diagra - Accompanied 61384 Sixty children from the school accompanied them to celebrate the village's founding. Forty children waved with the village flag. Thirty children got waved with the coat of arms of the village. How many children received both types of lubricants?
- Line - normal form
What is the equation of the line whose x-intercept is - 3 and y-intercept is -4? Find coefficients A, B, C in normal equation of line: Ax + By = C - Three sets and operations
Let A= {1,3,5}, B={2,4,5,6}, U={1,2,3,4,5,6,7} Find: 11. A ∪ B 12. A ∩ B 13. A' 14. (A ∩ B)' 15. B" - AND-NOT-AND
If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, the following integers will be in P and Q but not in R: A=−54 B=−50 C=42 D=100 E=252 - Sets
If X = {1, 2, 3, 4, 5 . . .10}, Y = {2, 4, 6,. . . 20} and Z = {x: x is an integer, 15 ≤ x ≤ 25 }. Find (a) X ∩ Y, (b) X ∩ Z, (c) n(X ∪ Y), and (d) n(X ∪ Z) - Children 58031
The children talked about how they spent the holidays at school. 2/3 of them were on holiday with their parents. There were ten children by the sea, which is 5/8 of those who were on vacation. How many children are in the class of children?
- 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 - School student The probability that a school student has a skateboard is 0.34, the probability that he has a bicycle is 0.81, and the probability that he has a skateboard and a bicycle is 0.22. What is the probability that a randomly selected student has a skateboard or
- Intersect of sets
Refer to the sets below: U = {1,2,3,. .. ,10} A = {1,2,3,4,5} B = {2,4,6,7,8} C = {4,5,6,8,10} A ∩ B ∩ C = ___ - Peter and Lucy
In a group of 3 boys and 4 girls, two players are drawn to play a game. Among the girls is Lucy, and among the boys is Petr (both are the only ones with that name). The first one drawn will be the captain, the second the helmsman. What is the probability - The vaccination
The vaccination coverage of the population is 80%. Unvaccinated make up 60% of all infected. What percentage are unvaccinated and more likely to be infected? Consider N = 10,000 inhabitants and K = 1,000 infected. b. How many times more likely are unvacci
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