A factory produces identical red, blue, and green balls. You are blindfolded and asked to pick the balls. What is the minimum number of balls you need to pick to guarantee at least two balls of the…
Question and options
A factory produces identical red, blue, and green balls. You are blindfolded and asked to pick the balls. What is the minimum number of balls you need to pick to guarantee at least two balls of the same color?
- 2
- 3
- 4
- 5
Answer and explanation
Correct answer: C - 4
Pigeonhole principle: with 3 colours you can draw 3 balls of different colours, so the 4th must repeat a colour. Minimum = 3 + 1 = 4.
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CUSAT CAT Five-Year LL.B.
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