Intersection of sets - practice problems - page 8 of 10
Number of problems found: 182
- Pupils
There are 27 pupils in the classroom. They can swim 21 and ski nine pupils. Neither swim nor ski three pupils. How many pupils can swim and ski?
- Probability of intersection
Three students have a probability of 0.7,0.5, and 0.4 to graduate from university, respectively. What is the probability that at least one of them will be graduated?
- Small painters
There are ten pupils in the painting group. Eight pupils paint with watercolors, and nine pupils with tempera colors. How many pupils paint both water and tempera colors when each pupil paints?
- Ten boys
Ten boys chose to go to the supermarket. Six boys bought gum, and nine boys bought a lollipop. How many boys bought gum and a lollipop?
- The Hotel
The Holiday Hotel has the same number of rooms on each floor. Rooms are numbered with natural numerals sequentially from the first floor; no number is omitted, and each room has a different number. Three tourists arrived at the hotel. The first one was in
- Wafers
They used 200 pieces to make wafers. One hundred fifty-seven topped with caramel topping and 100 with sugar topping. How many wafers did both toppings have?
- Marriage sttus
In our city, 3/5 of the women are married to 2/3 of the men. Find what part of the population is free.
- Left handed
It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar with 30 participants?
- Languages 7160
Out of 100 students, 30 studied German, 28 studied German, 42 learned French, eight studied German and German, 10 German and German, and 5 German and German. How many students have learned all three languages?
- Probability 7154
82% of football players, and 26% are hockey players at school. What is the probability that: A) I'm not a hockey player B) I know both sports C) I know one sport
- Mathematical 7136
Out of 50 pupils, 44 solved at least one of the Olympiads - MO Mathematical Olympiad and BO Biology Olympiad. Twenty pupils still need to solve the MO. Of those who dealt with both Olympiads, 1/3 of those who dealt with just one were. How many pupils solv
- Twenty-nine 7081
Twenty-nine people lost bread rolls. Eighteen people tasted the cake. Thirty-two people offered themselves drinks. Seven people had a drink with cake. Eighteen people had bread and a drink. Eight people had bread and cake. Five people offered themselves t
- Mba studium
At MBA school, fourth-year students can choose from three optional subjects: a) mathematical methods, b) social interaction, c) management Each student studies one of these subjects. The mathematical methods studied 28 students, the social interaction wit
- Utopia Island
The probability of disease A on the island of Utopia is 40%. The probability of occurrence among the men of this island, which make up 60% of all the population (the rest are women), is 50%. What is the probability of occurrence of A disease among women o
- Vacation 6692
There are 22 pupils in the class. During the holidays, nine students will go camping. Fifteen pupils will go on holiday together with their parents. How many students will go to summer camp and a family vacation?
- Three students
Three students independently try to solve the problem. The first student will solve a similar problem with a probability of 0.6, the second student will solve at a probability of 0.55, and the third will solve at a probability of 0.04. The problem is reso
- Arbitrary 6486
Draw an arbitrary triangle ABC and a line o to have exactly 2 points in common with the triangle.
- English-German 6443
Two foreign languages are compulsory from the fourth grade. Only a tenth of the class did not choose English, and a fifth did not take German. Fifteen children learn French this way. Calculate how many pupils chose the English-German combination.
- Twenty-six 6320
There are 32 students in the class. Twenty-six of them are learning English, 15 are learning German, and four are learning only French. How many students are learning English and German?
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