Sets - practice problems - page 6 of 17

Number of problems found: 329

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?
Dice probability greater
What is the probability that the number a) greater than 4, b) Will the number greater than four fall on the dice roll?
Different balls
There are 180 balls in three different colors in the bag. What is the smallest number of marbles to be selected so that there are at least 3 of the same color among them if the marble of the same color is the same in all three colors?
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
Testing 5
Viktória has many T-shirts - 3 white, 1 yellow, 3 blue, 2 green, 4 pink, 1 black, 2 orange. Which of the following statements is true? A: It is equally probable that Viktória will put on a white T-shirt as a pink T-shirt. B: It is more probable that Viktó
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
Sun invisible minutes
The sunsets in the morning at 4:52 and sets at 19:37. How many minutes can't we see Sun in the sky?
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.
Village flag waving
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?
Face combinations
If I have 20 sets of eyes, 20 noses, and 20 mouths, how many unique face combinations can I make?
Figure set probability
The set contains 12 different figures. How many unidentified individual figures do I have to buy to have precisely two complete sets with a 90% probability after unpacking them?
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 languages 2
Participants of a congress may present their contributions in English, Italian, or Spanish. Each of the 120 participants knows at least two of these languages, and 10 participants speak all three languages. English and Spanish is spoken by exactly as many
Calculate
In one class, each of the 30 students speaks either English or German. Three of them speak both languages. Those who speak only German outnumber those who speak only English by three. Using a Venn diagram, calculate: How many students speak English? How m

Do you have homework that you need help solving? Ask a question, and we will try to solve it. Solving math problems.