Sets - practice problems - page 7 of 14
Number of problems found: 271
- Probability 73654
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? - Two-thirds 73104
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? - Different 66994
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? - Accompanied 61384
Sixty children from the school accompanied them to celebrate the village's founding. Forty children got colorful waving with the flag of the village. Thirty children got waved with the coat of arms of the village. How many children received both types of - Calculate 39131
A circle describes a square with a side of 8 cm. Calculate the area of the rest of the circle if we cut out the square. - A teacher 2
A teacher checked two sets of test papers. The first set took 3 3/4 hours. The second took 1 1/2 hours, and the third took 2 3/5 hours. How much faster did the teacher check the third set than the first and second? - Conditional probability
Suppose a batch contains ten items, of which four are defective. Two items are drawn at random from the batch, one after the other, without replacement. What is the probability that: I) both are defective? Ii) Is the second item defective? - Coloured teacups
The teacups in Tea Stop 55 are `2/5` green and `3/10` yellow. What fraction of the teacups are neither green nor yellow? - Italian writer
There were 17 children in the barracks with an Italian writer. Six children ordered a book in an Italian original and 12 children in the translation. How many children ordered a book in both languages if the three children did not order it? - Pizza master
Master says that he can split pizza into 16 parts by five equals straight cuts. Is it possible? - Determine 83003
Determine the value of the number a so that the graphs of the functions f: y = x² and g: y = 2x + a have exactly one point in common. - Suspicion 82035
At the time of the theft, there were 96 people in the hotel; 61 were beyond suspicion. Of the 47 employees at the hotel, 23 are beyond suspicion. How many guests are not beyond suspicion? - Probability 68574
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? - Operations 66444
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 - Probability 37651
What is the probability that in a family with four children, there are: a) at least three girls b) at least one boy, If the probability of a boy is 0.51? - Students 9181
Of 34 pupils, 17 skis and 21 skates, 12 practice both sports. a) how many students from the class ski or skate? b) how many students from the class ski but do not skate? c) how many students from the class do not skate or ski? - Probability 8445
A soccer team player will score a goal from a penalty kick with a probability of 0.8. The goalkeeper has a penalty kick success rate of 0.4 What is the likelihood that: a) - a goal is scored during the execution of one kick b) - that a goal is not scored - Entertainment 8353
Twenty-two pupils attend class 4A. Of these, 12 pupils subscribe to a research magazine, 5 pupils subscribe to an entertainment magazine, and 8 pupils do not subscribe to any of these magazines. How many pupils subscribe to both magazines? - AND-NOT-AND
If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, the following integers will be in P and Q but not in R: A=−54 B=−50 C=42 D=100 E=252 - A swimmer-training
A swimmer-training program has 26 students specializing in butterfly stroke, 24 specializing in breaststroke, and 29 specializing in backstroke. Of these students, five specialize in all three strokes, five specialize in only the breaststroke and the back
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