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There are 10 red and 6 blue buttons in the box. What is the probability that two randomly taken buttons are of the same color?
Consider A, B and C to be an events. What is the sense of the following equations:
a) ABC = A;
b) A+B+C = A?
1. What are adjacent angles?
2. What are linear pair?
If a is an element of {-5,-4,...,5,7} and b is an element of {-6,-5,...,4,5}, what is the largest and smallest values of ab?
How do you get to the answer 16 if you start with 5 and you have to use +6, +3, -1, -4, divided by 2, divided by 3, multiplied by 2 and multiplied by 4? (you have to use all of the above)
(y^3+216)/(y^2-36)*(y-6)/6y
The function is continuous on the interval (a, b). Is it true that it is bounded on this interval?
There are several bags with lots of coins in each. In one of them all coins are brum and in all the others they are real. The weight of a real coin is known and also it is known that the fake coin is 1 gram lighter than the real one. How is it possible to define the bag with the fake coins with the help of just one weighing in the scaled scales?
A traveler came to the island in which a part of the inhabitants always tells the truth and the others always lie. What question should the traveller ask an inhabitant to figure out if he is a truthful person or a liar?
Is it possible to set 10 bus routes in the city and set the stations on them so that if we take any 8 of them there always will be a station not belonging to any of them, but any 9 routes pass through all the stations?
