Intersection of sets - practice problems - page 4 of 11
Number of problems found: 212
- Three 192
Three separate containers each have one purple marble and two blue marbles. One marble is chosen from each box. Find the probability of selecting a blue marble from each box. - Rafael
Rafael has three squares. The first square has a side length of 2 cm. The second square has a side length of 4 cm, and its vertex is placed in the center of the first square. The last square has a side length of 6 cm, and its vertex is placed in the cente - The following
The following data represents the number of cases of coffee or filters sold by four sales reps in a recent sales competition. Sales Person; Gourmet; Single Cup; Filters; Total Connor; 142; 325; 30; 497 Paige ; 42; 125; 40; 207 Bryce ; 9; 100; 10; 119 Mall - Prisoners
It is estimated that 10% of all federal prisoners have a positive self-image, 40% have a neutral self-image, and the rest have a negative self-image. The estimated probability of rehabilitating a prisoner with a negative self-image is 0.1. With a neutral - Dice conditional probability
I roll a 7-wall dice. What is the conditional probability that three fell if an odd number fell? - Dice unit probability
We roll two dice. One is 6-walled, and the other is 8-walled. What is the probability that at least one unit will fall? - Woman language employees The company has 120 employees, two-thirds of whom are women. Of the women, only a quarter speak both English and German. How many women talk in English and German?
- Students and exam
In a certain college, accounting is one of the courses. Among the accounting students, 60% are male. Among the male students, 75% passed the exams, while among the female students, 50% failed. (a) Present this information using a probability tree diagram. - Duck weight range
There are a total of 38 ducks in the freezer. Of these, 24 weigh more than 1.2, and 22 ducks weigh less than 1.5. How many ducks weigh more than 1.2 and less than 1.5 kg? - Social beneficiaries
In a certain community, 52% are SAP beneficiaries, 15% are members of 4Ps, and 8% are both SAP and 4 Ps. If a citizen from the community is an SAP, what is the probability that he is also 4Ps? If that person is not a 4Ps, what is the probability that he i - Ball selection probability There are five whites and nine blacks in the destiny. We will choose three balls at random. What is the probability that a) the selected balls will not be the same color, b) will there be at least two blacks between them?
- Target zone probability
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 both smokers and have had breast cancer. If a woman is selected at random, what is the probability that she has had breast cancer, smokes, or both?
- Random event operations
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 - Triangle construction sides
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 meet at a designated location between 6:00 and 7:20. One of them will wait 8 minutes after arriving and then leave. The other will wait for his opponent for 16 minutes and then leave. What is the probability that the duel will
- 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
Set Z contains all natural numbers less than 11. Set A contains all even numbers belonging to set Z. Set B contains all multiples of 5 belonging to set Z. Write all elements of set Z in the appropriate Venn diagram for the two sets.
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