Intersection of sets - practice problems - page 9 of 10
Number of problems found: 198
- Three Languages Students Count
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? - Sports Probability Problem
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 - Olympiad Participants Set Problem
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 - Party Food Drink Attendance
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 - Summer Camp and Vacation
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 - Triangle Line Two Points
Draw an arbitrary triangle ABC and a line o to have exactly 2 points in common with the triangle. - Language choice
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. - Students Learning Languages 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?
- Flower Vase Logic Puzzle
There are 20 flowers in the vase. There are 15 white flowers and ten roses. Are there white roses in the vase? - Embassy Reception Languages Spoken
At the embassy reception, everyone knows at least one foreign language: 15 people speak English 12 people speak German 7 both How many people does this society consist of if no one speaks another language? - Students Learning Two Languages
There are 21 children in the class. Of these, 12 are learning German, and 16 are learning French. How many children learn both languages, and how many children only learn French? Cut out using a cartoon set. - Student meals
Out of 129 1st-year students, 116 students go to lunch or dinner regularly, and 62 students go to one of these meals at most. At the same time, 47 students go to lunch more than to dinner. How many students go to lunch and dinner, how many go to dinner, a - Cookies/biscuits
There were a total of 200 cookies in the box. They used sugar and chocolate icing in their production. They used chocolate icing for 157 biscuits. They used sugar icing for 100 biscuits. How many of these cookies have both toppings? - Rings groups
Twenty-seven pupils attend some groups. Fourteen pupils attend the Dance group, 21 in the sports group, and 16 in the dramatic group. Dance and sporting attend nine pupils, dance and drama six pupils, and sporty and dramatic 11 pupils. How many pupils att - Round destiny
There are five white and ten red balls in the destiny. Four balls will be drawn at random. What is the probability of the event "at least two spheres are white"? - Biscuit icing
There are 200 biscuits in the box. They used chocolate and sugar icing to make them. They used chocolate for 157 biscuits and sugar for 100 biscuits. How many biscuits did they use in both toppings? - Dices throws
What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once
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