Sets - practice problems - page 2 of 17
Number of problems found: 329
- Min-max
What is the maximum and minimum of the data set: 6, 2, 3, 3, 2, 2? - Exactly 4
Exactly 1/6 of the kids are playing on the playground. Exactly 3/5 of the kids are playing soccer. Jack adds 1/6 + 3/5 to find the total fraction of kids at the park playing on the playground or playing soccer. Is he correct? - Five roommates
Five roommates will move into a house with four bedrooms: one double room and three single rooms. The five roommates propose that they draw names to determine the order in which they pick the bedrooms, assuming that the first three names drawn will choose - Ruben
Ruben owns a restaurant. He likes to keep track of everything customers are buying. His top 3 sellers are sandwiches, salads, and pizza. He knows that 1/3 of his customers buy a sandwich, 1/2 buy a salad, and 1/4 buy a pizza. What fraction of customers bu - A disease
A disease affects 10% of the individuals in a population, and a sample of 100 people was selected from the population. What is the probability of finding the disease in at least 15 people? - Three sets Of 240 students, 173 are on the honor roll, 48 are members of the varsity team, and 36 are on the honor roll and are also members of the varsity team. What is the probability that a randomly selected student is on the honor roll or is a member of the vars
- False positive, false negative
Suppose the likelihood of someone being allergic to cats is 1/1000 of the general population. A test to determine if you're allergic to cats has a false positive rate of 5%; that is, 5% of the time, the test will indicate incorrectly that you are allergic - Here are 2
Here are two sets: A:={{1,2},{1,4},{2,4}} and B:={{1,4},{1},{2},{4,2}}. How large is |A∩B| - Union of sets Given the sets A = {2, 3, 4, 5} and B = {2, 4, 5, 6} . What is A ∪ B? 1.A ∪ B={2, 4, 5} 2.A ∪ B={3} 3.A ∪ B={2, 3, 4, 5, 6} 4.A ∪ B={6}
- Intersection of two sets
A = {a, b, c, d, e, f, g, h, i}, B = { d, g, f, k, j, a}, find A ∩ B. - Set complement Let U = {1, 3, 5, 7, 9, 11} and A = {1, 5, 9}. What are the elements of A’? A. {3, 7, 11} B. {0} C. {1, 3, 9} D. {2, 4, 6, 8, 10}
- Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8| - Testing students
Giving a test to a group of students, the grades and gender are summarized below. Grades and Gender ; A; B ; C ; Total Male; 20; 6; 19 ; 45 Female ; 17; 18; 13; 48 Total; 37; 24; 32; 93 If one student is chosen at random, a) Find the probability that the - Math test 3
How many students took the math test if one third of them solved only some of the problems. A quarter of the remaining students did not solve a single problem and 75 students solved all the problems. - Traffic accidents
Of the total number of traffic accidents, 80% occur within built-up areas and 20% outside them. If the number of traffic accidents within built-up areas were reduced by 40%, by what percentage would the total number of traffic accidents decrease? - Elementary Art School The music and art department of an elementary art school is attended by 86 students. The music department is attended by 45 students and the art department by 53 students. Some students attend both departments. How many students attend both departments at
- Two workshops
Two workshops were supposed to produce 4,000 sets of kitchen utensils together. After completing the task, it was found that the first workshop produced 534 sets more than originally planned for it, while the second workshop fulfilled its plan at 80%. How - Target - shooting
A shooter hits the target with a probability of 78%. Determine the probability that, in a competition where 3 shots are fired in succession, he misses only the first shot. Round the result to two decimal places. - Out of 124 Out of 124 students, 68 went on at least one of two trips. 82 students did not go on the first trip, and 63 students went on exactly one trip. How many students went only on the first trip, and how many students went on the second trip?
- In the parking lot 2 There were 12 cars in a car park: 5 green, 4 blue, and 3 red. What is the probability that the last car left in the car park is blue or green?
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