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# satrapis

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1. ## The columns

In a plot there are 2 columns whose distance is 2 units of length. A car is moving in such a way that at any time is 1 unit of length away from at least one column and a second car is moving so that its distances from the columns have a sum of twice the distance between them (columns). We throw 10 pieces of paper, which have a picture of a face on them, in the plot and fall within the range of movement of the second car, but not uniformly. We pick a random piece of paper. a) What is the probability that the piece of paper has fallen within the range of movement of the second car but outside the movement area of the first car and the face on it is looking left (left and right don't have the same probability)? b) One of the drivers half-closes one of his eyes. If we throw a very small piece of paper (in the range of movement of the second), (at random), what is the probability that the piece of paper gets into the half-closed eye of the driver?
2. ## The 2 devices

In 2 small blocks of flats there are 2 lucky devices which give one piece of paper (with a number on it) to every person. The 1st person goes: Both devices give him number -1 The 2nd person goes: Both devices give him number -1 The 3rd person goes: Device A gives number 1 and device B gives number -1 The 4th person goes: Both devices give hin number 5 Whoever has diferrent number on the 2 pieces of paper goes Whoever has the same number has to pay 10 euros And to these people that the sum of the two number equals 0 wins 100 euros a) How much money is going to be paid by people? b) How many people are going to win? c) What were the numbers of the 5th person?
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