Intersection of sets - practice problems - page 4 of 10
Number of problems found: 182
- 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).
- 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
- 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?
- What is 19
What is the equation of the line whose x-intercept is - 3 and y-intercept is -4? Find coefficients A, B, C in normal line equation: 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 = ___
- 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
- An aircraft
An aircraft manufacturing company has submitted bids on two separate airline contracts, A and B. The company feels it has a 70% chance of winning contract A and a 25% chance of winning contract B. Furthermore, it believes that winning contract A is indepe
- And-or probabilities
P(A ) = 0.53, P(B) = 0.15, and P(A n B ) = 0.18. Find P(A U B ). Round approximations to two decimal places.
- There 11
There are 50 pupils in the class. Out of this number, 1/10 speak French only, and 4/5 of the ten speak French and English. If the rest speak English only, find the number of students who speak only English.
- Smoker male
For a person selected randomly from a certain population, events A and B are defined as follows. A = event the person is male B = event the person is a smoker. For this particular population, it is found that P(A ) = 0.53, P(B) = 0.15, and P(A n B ) = 0.1
- Intersection 49623
Where is the intersection of the function y = -3x + 5 with the coordinate axes x and y? (where they are on the x-axis and y-axis)
- Three subjects
In a class of 40 students, 18 passed mathematics, 19 passed accounting, 16 passed economics, five mathematics and accounting only, six mathematics only, nine accounting only, and two accounting and economics only. Each student was offered at least one of
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