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Category: Probability and Statistics

A-party-of-7-members-is-to-be-chosen-from-a-group-of-6-ladies-and-5-gents-In-how-many-ways-can-the-party-be-formed-if-it-is-to-contain-i-exactly-4-ladies-i-at-least-4-ladies-i-at

Question Number 6098 by Rasheed Soomro last updated on 13/Jun/16 $$\mathrm{A}\:\mathrm{party}\:\mathrm{of}\:\:\mathrm{7}\:\:\:\mathrm{members}\:\mathrm{is}\:\mathrm{to}\:\mathrm{be}\:\mathrm{chosen} \\ $$$$\mathrm{from}\:\mathrm{a}\:\mathrm{group}\:\mathrm{of}\:\:\mathrm{6}\:\:\mathrm{ladies}\:\mathrm{and}\:\:\mathrm{5}\:\:\mathrm{gents}. \\ $$$$\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{the}\:\mathrm{party}\:\mathrm{be} \\ $$$$\mathrm{formed}\:\mathrm{if}\:\mathrm{it}\:\mathrm{is}\:\mathrm{to}\:\mathrm{contain} \\ $$$$\left(\mathrm{i}\right)\:\:\:\mathrm{exactly}\:\mathrm{4}\:\:\mathrm{ladies} \\ $$$$\left(\mathrm{i}\right)\:\:\:\mathrm{at}\:\mathrm{least}\:\mathrm{4}\:\:\mathrm{ladies} \\ $$$$\left(\mathrm{i}\right)\:\:\:\mathrm{at}\:\mathrm{most}\:\mathrm{4}\:\:\mathrm{ladies}\:? \\ $$…

If-four-people-all-said-HELLO-to-each-other-once-how-many-times-would-the-word-HELLO-be-spoken-

Question Number 5897 by sanusihammed last updated on 04/Jun/16 $${If}\:{four}\:{people}\:{all}\:{said}\:\:{HELLO}\:{to}\:{each}\:{other}\:{once}.\:{how}\:{many}\: \\ $$$${times}\:{would}\:{the}\:{word}\:\:{HELLO}\:\:{be}\:{spoken}\:? \\ $$ Answered by FilupSmith last updated on 04/Jun/16 $${person}\:\mathrm{1}\:{talks}\:{to}\:\mathrm{3}\:{people} \\ $$$${person}\:\mathrm{2}\:{talks}\:{to}\:\mathrm{2}\:{people} \\…

A-bowl-contains-carefully-shredded-confetti-6-of-which-are-blue-and-the-remaining-12-are-red-Each-piece-of-confetti-is-either-circular-triangular-or-rectangular-in-shape-and-are-in-the-ratio-1-3-2-f

Question Number 136375 by nadovic last updated on 22/Mar/21 $$\mathrm{A}\:\mathrm{bowl}\:\mathrm{contains}\:\mathrm{carefully}\:\mathrm{shredded} \\ $$$$\mathrm{confetti},\:\mathrm{6}\:\mathrm{of}\:\mathrm{which}\:\mathrm{are}\:\mathrm{blue}\:\mathrm{and}\:\mathrm{the} \\ $$$$\mathrm{remaining}\:\mathrm{12}\:\mathrm{are}\:\mathrm{red}. \\ $$$$\mathrm{Each}\:\mathrm{piece}\:\mathrm{of}\:\mathrm{confetti}\:\mathrm{is}\:\mathrm{either}\:\mathrm{circular} \\ $$$$\mathrm{triangular}\:\mathrm{or}\:\mathrm{rectangular}\:\mathrm{in}\:\mathrm{shape}\:\mathrm{and} \\ $$$$\mathrm{are}\:\mathrm{in}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{1}:\mathrm{3}:\mathrm{2}\:\mathrm{for}\:\mathrm{each}\:\mathrm{colour} \\ $$$$\mathrm{respectively}.\:\mathrm{If}\:\mathrm{they}\:\mathrm{are}\:\mathrm{thrown}\:\mathrm{up}\: \\ $$$$\boldsymbol{\mathrm{thrice}}\:\mathrm{in}\:\mathrm{a}\:\mathrm{certain}\:\mathrm{competition}\:\mathrm{and}\:\mathrm{a} \\…

If-A-and-B-toss-n-1-and-n-fairs-coins-respectively-what-is-the-probability-P-n-that-A-gets-more-heads-than-B-

Question Number 136151 by bramlexs22 last updated on 19/Mar/21 $${If}\:{A}\:{and}\:{B}\:{toss}\:{n}+\mathrm{1}\:{and}\:{n}\:{fairs} \\ $$$${coins}\:{respectively},\:{what}\:{is}\:{the} \\ $$$${probability}\:{P}_{{n}} \:{that}\:{A}\:{gets}\:{more} \\ $$$${heads}\:{than}\:{B} \\ $$ Terms of Service Privacy Policy Contact:…