A-bag-contains-5-balls-2-green-and-3red-They-are-selected-without-replacement-till-the-remaining-balls-in-the-bag-are-of-same-colours-Let-the-random-variable-X-be-the-number-of-selections-possible-1

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Question Number 90196 by Ar Brandon last updated on 21/Apr/20

$$\mathrm{A}\mathrm{bag}\mathrm{contains}5\mathrm{balls},2\mathrm{green}\mathrm{and}3\mathrm{red}$$$$\mathrm{They}\mathrm{are}\mathrm{selected}\mathrm{without}\mathrm{replacement}\mathrm{till}$$$$\mathrm{the}\mathrm{remaining}\mathrm{balls}\mathrm{in}\mathrm{the}\mathrm{bag}\mathrm{are}\mathrm{of}\mathrm{same}\mathrm{colours}.$$$$\mathrm{Let}\mathrm{the}\mathrm{random}\mathrm{variable}\mathrm{X}\mathrm{be}\mathrm{the}\mathrm{number}$$$$\mathrm{of}\mathrm{selections}\mathrm{possible}$$$$1)\mathrm{Determine}\mathrm{the}\mathrm{set}\mathrm{of}\mathrm{values}\mathrm{of}\mathrm{X}$$$$2)\mathrm{Determine}\mathrm{the}{\mathrm{it}}^{\prime }\mathrm{s}\mathrm{expectation},\mathrm{its}\mathrm{variance}$$$$\mathrm{and}\mathrm{its}\mathrm{standard}\mathrm{deviation}.$$

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