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Number of problems found: 329
- Freedom
In the city are 2/4 of women married for 4/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number. - Glasses
Imagine a set of students in your class (number of students: 15) who wears glasses. How many minimum and maximum elements may contain this set? - News
Of 28 students, 10 The economist subscribe to the first magazine, 10 Pravda subscribe to the second magazine, and 18 subscribe to neither. How many students subscribe to both magazines? - Disjoint
How many elements have union and intersection of two disjoint sets when the first has 1 and second 8 elements? - Subsets
How many are all subsets of set C = (97, 67, 66, 18, 59, 64)? - Energy saving
Three independent inventions were released, each saving 15%, 17%, and 16% of energy respectively. Some people assumed that using all three would save 15% + 17% + 16% = 48% of energy. Is this correct? What is the actual total percentage of energy saved by - Family
A man and a woman have 7 daughters together (biological children only, excluding step-children). Each daughter has one brother. How many members are in the immediate family? - Shooters
In a regiment there are piati shooters. The first shooter hits the target with a probability of 42%, and the next with 40%, 21%, 58%, 67%%. Calculate the probability that the target is hit when all shooters fire simultaneously. - Two doctors
Doctor A makes the correct diagnosis with a probability of 89% and Doctor B with a probability of 75%. Calculate the probability of a correct diagnosis if both doctors examine the patient independently.
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