Question:
A box contains 6 red, 7 green, and 5 blue balls (all distinct in size). What is the probability that the selected red ball is the smallest red ball?
A box contains 6 red, 7 green, and 5 blue balls (all distinct in size). What is the probability that the selected red ball is the smallest red ball?
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When selection is conditional (“a red ball is selected”), focus only on that subset.
Updated On: Mar 23, 2026
- 1/18
- 1/3
- 1/6
- 2/3
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The Correct Option is C
Solution and Explanation
There are 6 red balls, each of different size. So among red balls, only 1 is the smallest.
Probability that we pick a red ball = not relevant here — question says: "A red ball is selected" → so event space is red balls only. So, favorable = 1 (smallest red), total red balls = 6 \[ P = \frac{1}{6} \boxed{\frac{1}{6}} \]
Probability that we pick a red ball = not relevant here — question says: "A red ball is selected" → so event space is red balls only. So, favorable = 1 (smallest red), total red balls = 6 \[ P = \frac{1}{6} \boxed{\frac{1}{6}} \]
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