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A bag contains six black marbles and six white marbles. what is the least number of marbles without looking to be certain that you have chosen to marbles of the same color black

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Final answer:

The least number of marbles you need to draw without looking to be certain that you have chosen two marbles of the same color is 4 marbles.

Step-by-step explanation:

The least number of marbles you need to draw without looking to be certain that you have chosen two marbles of the same color is 4 marbles.



Step-by-step explanation:



To understand why we need 4 marbles, we can consider the worst-case scenario where we first draw 3 marbles and get 3 different colors (e.g., black, white, black). In this case, the next marble we draw will guarantee that we have 2 marbles of the same color. Therefore, by drawing 4 marbles, we can be certain that we have chosen 2 marbles of the same color.

User Y Durga Prasad
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