Category: Probability and Statistics

Question Number 221052 by MrGaster last updated on 23/May/25 Answered by Frix last updated on 24/May/25 $$\mathrm{Black}\:\mathrm{needs}\:\mathrm{at}\:\mathrm{least}\:\mathrm{2}\:\mathrm{rounds}\:=\:\mathrm{6}\:\mathrm{draws}. \\ $$$$\mathrm{He}\:\mathrm{wins}\:\mathrm{16}\:\mathrm{out}\:\mathrm{of}\:\mathrm{64}\:\mathrm{different}\:\mathrm{games}\:\mathrm{of} \\ $$$$\mathrm{6}\:\mathrm{draws}\:=\:\mathrm{25\%} \\ $$$$\mathrm{Red}\:\mathrm{needs}\:\mathrm{at}\:\mathrm{least}\:\mathrm{2}\frac{\mathrm{2}}{\mathrm{3}}\:\mathrm{rounds}\:=\:\mathrm{8}\:\mathrm{draws}. \\ $$$$\mathrm{He}\:\mathrm{wins}\:\mathrm{24}\:\mathrm{out}\:\mathrm{of}\:\mathrm{256}\:\mathrm{different}\:\mathrm{games}\:\mathrm{of}…

Question Number 220625 by Spillover last updated on 17/May/25 Answered by mr W last updated on 17/May/25 $${for}\:{the}\:{remaining}\:\mathrm{4}\:{doors}\:{he}\:{needs} \\ $$$${additional}\:{paint}\:{which}\:{can}\:{only}\:{be}\: \\ $$$${blue},\:{green}\:{or}\:{yellow}. \\ $$$$\left.\mathrm{1}\right)\:{color}\:{for}\:{addtional}\:{paint}\:{is}\:{blue} \\…

Question Number 220627 by Spillover last updated on 17/May/25 Answered by mr W last updated on 17/May/25 $$\left.\mathrm{1}\right)\:{no}\:{egg}\:{in}\:{all}\:{three}\:{days}: \\ $$$$\mathrm{3}!=\mathrm{6}\:{ways} \\ $$$$\left.\mathrm{2}\right)\:{egg}\:{in}\:{one}\:{day}: \\ $$$$\mathrm{3}×\mathrm{3}×\mathrm{3}×\mathrm{2}=\mathrm{54}\:{ways} \\…

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Question Number 219560 by Tawa11 last updated on 28/Apr/25 Suppose that an urn contains 100,000 marbles and 120 are red . If a random sample…