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## A bag contains balls of two colours, 3 black and 3 white. What is the smallest number of balls which must be drawn from the bag, without looking, so that among these there are two of the same colour?

A bag contains balls of two colours, 3 black and 3 white. What is the smallest number of balls which must be drawn from the bag, without looking, so that among these there are two of the same colour?

(a) 2

(b) 3

(c) 4

(d) 5

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Using the pigon-hole principle.

We need at least 2 of the same color.

So, we need at least 1 ball of each color +1.
Which equals to 3.

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