A Very Basic Problem To Test Your Mathematical Thinking

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A Very Basic Problem To Test Your Mathematical Thinking

image containing math problem statement

A very basic problem, that requires no more than basic logical thinking.

The correct answer is, you just need $1$ draw do determine the correct content of all the boxes.

For this you need to draw one marble from the box marked $RB$. Since all the boxes are incorrectly marked, this box must contain either only red or only blue marbles.

If the drawn marble is red, then this box contains only red marbles and if the drawn marble is blue, then this box contains only blue marbles.

Now we should be able to determine the correct content of by changing the label of the other pure color to $RB$.

For example, if the drawn marble is red, then the box marked $RB$ contains red marble.

And the box marked $B$ contains red/blue mix, and the box marked $R$ contains blue marbles.

Similarly, if the drawn marble is blue, then the box marked $RB$ contains blue marbles.

And the box marked $R$ contains red/blue mix, while the box marked $B$ contains red marbles.

Thus, you should be able to determine the content of all three boxes by just drawing one marble from the box marked $RB$.