There are 4 black, 4 red, and 4 white marbles in a box. How many marbles do you have to take out (without looking) to be sure you have at least two marbles of the same color

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Answer:

6

Step-by-step explanation:

4 marbles we have to take out (without looking) to be sure that we have at least two marbles of the same color.

There are 4 black, 4 red, and 4 white marbles in a box.

So, in order to have atleast two marbles of the same color we must take out atleast four marbles.

That is 1 black, 1 red, and 1 white of each color and the fourth one may be of any color. So we have atleast two marbles of the same color.

Therefore we have to rake out atleast 4 marbles in order to have at least  two marbles of the same color.

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