# Reason + sets - math problems

#### Number of problems found: 45

• Marriage sttus In our city, there are 3/5 of the women married to 2/3 of the men. Find what part of the population is free.
• Subsets How many 19 element's subsets can be made from the 26 element set?
• 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
• Classroom 3 How many children are in the classroom, where 13 children are higher than Lenka and 9 children lower than Lenka?
• Pizza master Master says that he can splits pizza to 16 parts by five equals straight cuts. Is it possible?
• Pairs From the five girls and four boys teachers have to choose one pair of boy and girl. A) How many such pairs of (M + F)? B) How many pairs where only boys (M + M)? C) How many are all possible pairs?
• Rings - intersect There are 15 pupils on the sporting ring. 10 pupils go to football, 8 pupils go to floorball. How many pupils go to both rings at the same time?
• Trousers In the class was 12 students. Nine students wearing trousers and turtleneck eight. How many students worn trousers with a turtleneck?
• 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 where there are 30 participants?
• Gloves Petra has ten pairs of gloves in the closet. Six pairs are blue, 4 pairs are yellow. How many pieces of gloves need to be pulled out at least when she pull them out in the dark and want to have one complete one color pair?
• Fall sum or same Find the probability that if you roll two dice, it will fall the sum of 10, or the same number will fall on both dice.
• Language courses Of the company's 60 employees, 28 attend an English course, 17 take a German course, and 20 do not attend any of these courses. How many employees attend both courses?
• Probability of intersection Three students have a probability of 0.7,0.5 and 0.4 to graduated from university respectively. What is the probability that at least one of them will be graduated?
• Double probability The probability of success of the planned action is 60%. What is the probability that success will be achieved at least once if this action is repeated twice?
• Buffet In the school buffet were 30 children. 21 children bought sandwiches and 15 children bought lemonade. Four children did not buy anything. How many children bought lemonade and sandwiche?
• Skoda cars There were 16 passenger cars in the parking. It was the 10 blue and 10 Skoda cars. How many are blue Skoda cars in the parking?
• Glasses There are 36 pupils in the class. Nine girls wear glasses. Boys with glasses are five less than girls without glasses. Boys without glasses are two times more than girls without glasses. How many boys and how many girls?
• 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?
• Brothers and sisters There are 35 children in the class, 23 of them have a brother, and 27 of them have a sister. How many children have both a brother and a sister when there are 5 children in the class who have no brother or sister?
• Math logic There are 20 children in the group, each two children have a different name. Alena and John are among them. How many ways can we choose 8 children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum one wa

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