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Category: Probability and Statistics

In-a-card-game-for-four-players-a-pack-of-fifty-two-cards-is-dealt-round-so-that-each-player-receives-thirteen-cards-A-hand-that-contains-no-card-greater-than-nine-is-call

Question Number 103223 by Ar Brandon last updated on 13/Jul/20 $$\:\:\:\:\:\:\:\:\:\mathrm{In}\:\mathrm{a}\:\mathrm{card}\:\mathrm{game}\:\mathrm{for}\:\mathrm{four}\:\mathrm{players},\:\mathrm{a}\:\mathrm{pack}\:\mathrm{of}\:\mathrm{fifty}-\mathrm{two}\:\mathrm{cards}\:\mathrm{is}\:\mathrm{dealt}\:\mathrm{round}\:\mathrm{so} \\ $$$$\:\:\:\:\:\:\mathrm{that}\:\mathrm{each}\:\mathrm{player}\:\mathrm{receives}\:\mathrm{thirteen}\:\mathrm{cards}.\:\mathrm{A}\:\mathrm{hand}\:\mathrm{that}\:\mathrm{contains}\:\mathrm{no}\:\mathrm{card}\:\mathrm{greater}\:\mathrm{than}\:\:\:\:\:\: \\ $$$$\:\:\:\:\:\:\mathrm{nine}\:\mathrm{is}\:\mathrm{called}\:\mathrm{a}\:\mathrm{yarborough}.\:\mathrm{How}\:\mathrm{many}\:\mathrm{deals}\:\mathrm{are}\:\mathrm{necessary}\:\mathrm{for}\:\mathrm{the}\:\mathrm{probability} \\ $$$$\:\:\:\:\:\:\mathrm{of}\:\mathrm{at}\:\mathrm{least}\:\mathrm{one}\:\mathrm{hand}\:\mathrm{being}\:\mathrm{a}\:\mathrm{yarborough}\:\mathrm{to}\:\mathrm{be}\:\mathrm{greater}\:\mathrm{than}\:\frac{\mathrm{1}}{\mathrm{2}}\:?\:\left(\mathrm{Ace}\:\mathrm{ranks}\:\mathrm{high}\right)\:\:\:\:\:\: \\ $$ Terms of Service Privacy Policy Contact:…

Question-168180

Question Number 168180 by peter frank last updated on 05/Apr/22 Answered by MJS_new last updated on 05/Apr/22 $$\left(\mathrm{i}\right)\:\mathrm{if}\:\mathrm{there}\:\mathrm{are}\:\mathrm{12}\:\mathrm{face}\:\mathrm{cards}\:\mathrm{the}\:\mathrm{possibility}\:\mathrm{to} \\ $$$$\mathrm{draw}\:\mathrm{one}\:\mathrm{is}\:\frac{\mathrm{12}}{\mathrm{52}}=\frac{\mathrm{3}}{\mathrm{13}} \\ $$$$\left(\mathrm{ii}\right)\:\mathrm{1}−\frac{\mathrm{1}}{\mathrm{4}}=\frac{\mathrm{3}}{\mathrm{4}} \\ $$ Commented…

In-an-examination-the-probability-of-charles-scoring-the-highest-mark-in-Maths-Physics-and-Chemistry-are-0-90-0-75-and-0-80-respectively-Calculate-the-probability-that-he-will-get-the-highest-mark

Question Number 168035 by pete last updated on 01/Apr/22 $$\mathrm{In}\:\mathrm{an}\:\mathrm{examination},\:\mathrm{the}\:\mathrm{probability}\:\mathrm{of}\:\mathrm{charles} \\ $$$$\mathrm{scoring}\:\mathrm{the}\:\mathrm{highest}\:\mathrm{mark}\:\mathrm{in}\:\mathrm{Maths},\:\mathrm{Physics} \\ $$$$\mathrm{and}\:\mathrm{Chemistry}\:\mathrm{are}\:\mathrm{0}.\mathrm{90},\:\mathrm{0}.\mathrm{75}\:\mathrm{and}\:\mathrm{0}.\mathrm{80}\:\mathrm{respectively}. \\ $$$$\mathrm{Calculate}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{he}\:\mathrm{will}\:\mathrm{get} \\ $$$$\mathrm{the}\:\mathrm{highest}\:\mathrm{mark}\:\mathrm{in}\:\mathrm{at}\:\mathrm{least}\:\mathrm{3}\:\mathrm{subjects}. \\ $$ Commented by MJS_new last updated…

Dans-une-PME-sont-employes-6ouvriers-5-employes-le-PDG-souhaite-prendre-l-avis-de-son-personnel-il-interroge-7-personnes-choisies-au-hasard-parmi-ces-11-personnes-soit-X-la-variable-aleatoire-no

Question Number 167848 by ArielVyny last updated on 27/Mar/22 $${Dans}\:{une}\:{PME},\:{sont}\:{employes}\:\mathrm{6}{ouvriers} \\ $$$$\mathrm{5}\:{employes}.\:{le}\:{PDG}\:{souhaite}\:{prendre}\:{l}'{avis} \\ $$$${de}\:{son}\:{personnel}.\:{il}\:{interroge}\:\mathrm{7}\:{personnes} \\ $$$${choisies}\:{au}\:{hasard}\:{parmi}\:{ces}\:\mathrm{11}\:{personnes}. \\ $$$${soit}\:{X}\:{la}\:{variable}\:{aleatoire}:\:“{nombre}\: \\ $$$${d}'{ouvriers}\:{interroges}'' \\ $$$$\left.\mathrm{1}\right){quelles}\:{sont}\:{les}\:{valeurs}\:{prises}\:{par}\:{X} \\ $$$$\left.\mathrm{2}\right){quelle}\:{est}\:{la}\:{loi}\:{de}\:{probabilite} \\…