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An urn contains 9 red balls and x green balls. If the probability of picking a red ball is thrice that of picking a green ball, then x = ______.

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Question

An urn contains 9 red balls and x green balls. If the probability of picking a red ball is thrice that of picking a green ball, then x = ______.

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Solution

An urn contains 9 red balls and x green balls. If the probability of picking a red ball is thrice that of picking a green ball, then x = 3.

Explanation:

Equate the probabilities: \[\frac{9}{9+x}=3\times\frac{x}{9+x}\] 

Hence, 9 = 3x, so the answer is 3.

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Chapter 16: Probability - FILL IN THE BLANK TYPE QUESTIONS (FBQs) [Page 16.30]

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R.D. Sharma Mathematics [English] Class 10
Chapter 16 Probability
FILL IN THE BLANK TYPE QUESTIONS (FBQs) | Q 18. | Page 16.30
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