An urn contains equal number of green and red balls. Suppose you are playing the following game. You draw one ball at random from the urn and note its colour. The ball is then placed back in the urn, and the selection process is repeated. Each time a green ball is picked you get 1 Rupee. The first time you pick a red ball, you pay 1 Rupee and the game ends. Your expected income from this game is
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An urn contains equal number of green and red balls. Suppose you are playing the following game. You draw one ball at random from the urn and note its colour. The ball is then placed back in the urn, and the selection process is repeated. Each time a green ball is picked you get 1 Rupee. The first time you pick a red ball, you pay 1 Rupee and the game ends. Your expected income from this game is (A) ∞ (B) Positive but finite (C) Zero (D) Negative
Random variables and standard distributions has come up 173 times in 7 exams since 2005.
This question is on Geometric and hypergeometric distributions, part of Random variables and standard distributions in Statistics.
Waiting for a first success, and successes in draws without replacement.
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