There are 3 white balls, 3 black, 3 blue, 3 green and 3 red balls in the box. The balls are indistinguishable from each other by touch. The balls are taken out of the box in the dark. What is the smallest number of balls you need to take so that among them there are necessarily 2 balls of the same color?
The box contains balls of five colors.
In the worst case, you can take out a maximum of five balls so that each of them is of a different color – one ball of each color (with more successful ones, the pair is formed earlier).
Then any next ball taken out will pair up with one of the balls already taken out.
Answer: you need to get at least 6 balls.
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