# Sets - practice problems

#### Number of problems found: 275

- An examination

In an examination 65% students passed in English and 56% in mathematics. And 25% failed in both the subjects. If 414 passed in both the subjects, then find the total number of students. - Richard

Richard is conducting an experiment. Every time he flips a fair two-sided coin, he also rolls a six-sided die. What is the probability that the coin will land on tails and the die will land on an even number? - The row

The row of shrubs will be 20 feet long. Maya planted three sets of shrubs. One shrub needs to be 7 1/2 feet from the other shrub. How can you use fractions to show how far apart each shrub is from each other? - X intercept

Given: 3y+2x=-6 Calculate the X-intercept.

- Library and gym

In a town, 7/8 of the population has a library card, and 3/4 has a gym membership. What fraction of the population has either a library card or a gym membership? - And or logic

If A and B are events with P(A)=0.3, P(A OR B)=0.76, and P(A AND B)=0.04, find P(B). Enter your answer in decimal form, rounded to one place. - Three 241

Three-fifths of the t-shirts in a t-shirt shop are blue. Five-eights of those T-shirts are on sale. One-third of the blue of the blue shirts that are on sale are size medium. What fraction of the shop's blue T-shirts are on sale and size medium? - And - or probability rules

Given P(A)=0.4, P(B)=0.56, and P(A and B)=0.274, find the value of P(A or B), rounding, if necessary. - 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}

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