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.