Question Number 12306 by Gaurav3651 last updated on 18/Apr/17 $${Two}\:{similar}\:{boxes}\:{B}_{{i}} \:\left({i}=\mathrm{1},\mathrm{2}\right){contain} \\ $$$$\left({i}+\mathrm{1}\right){red}\:{and}\:\left(\mathrm{5}−{i}−\mathrm{1}\right)\:{black}\:{balls}. \\ $$$${One}\:{box}\:{is}\:{chosen}\:{at}\:{random}\:{and} \\ $$$${two}\:{balls}\:{are}\:{drawn}\:{randomly}. \\ $$$${what}\:{is}\:{the}\:{probability}\:{that}\:{both} \\ $$$${balls}\:{are}\:{of}\:{different}\:{colours}? \\ $$$$\left({a}\right)\:\:\mathrm{1}/\mathrm{2} \\ $$$$\left({b}\right)\:\:\mathrm{3}/\mathrm{10}…
Question Number 77777 by jagoll last updated on 10/Jan/20 $${The}\:{number} \\ $$$${of}\:{words}\:{can}\:{be}\:{made}\:{formed} \\ $$$${using}\:{all}\:{letters}\:{in}\:{the}\:{word} \\ $$$$'{amutasia}'\:{by}\:{not}\:{containing} \\ $$$${the}\:{three}\:{vowels}\:{side}\:{by}\:{side}\:{is}\:? \\ $$ Answered by mr W last…
Question Number 12156 by tawa last updated on 15/Apr/17 $$\mathrm{If}\:\mathrm{the}\:\mathrm{ratio}\:\mathrm{of}\:\mathrm{the}\:\mathrm{students}\:\mathrm{that}\:\mathrm{pass}\:\mathrm{a}\:\mathrm{test}\:\mathrm{to}\:\mathrm{those}\:\mathrm{that}\:\mathrm{fail}\:\mathrm{is}\:\mathrm{in}\:\mathrm{ratio}\:\mathrm{4}:\mathrm{1}, \\ $$$$\mathrm{If}\:\:\mathrm{9}\:\mathrm{students}\:\mathrm{were}\:\mathrm{chosen}\:\mathrm{at}\:\mathrm{random},\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{exactly} \\ $$$$\mathrm{7}\:\mathrm{passed}\:\mathrm{the}\:\mathrm{test}. \\ $$ Answered by mrW1 last updated on 23/Apr/17 $${probability}\:{pass}\:{test}\:{p}=\frac{\mathrm{4}}{\mathrm{4}+\mathrm{1}}=\mathrm{0}.\mathrm{8} \\…
Question Number 77394 by jagoll last updated on 06/Jan/20 $$\mathrm{a}\:\mathrm{6}\:\mathrm{digit}\:\mathrm{number}\:\mathrm{formed}\: \\ $$$$\mathrm{with}\:\mathrm{the}\:\mathrm{first}\:\mathrm{number}\:\mathrm{is}\:\mathrm{2}\:\mathrm{and}\: \\ $$$$\mathrm{contains}\:\mathrm{4}\:\mathrm{equal}\:\mathrm{number}.\:\mathrm{many} \\ $$$$\mathrm{number}\:\mathrm{can}\:\mathrm{be}\:\mathrm{made}\:\mathrm{are}\: \\ $$ Commented by mr W last updated on…
Question Number 11599 by tawa last updated on 28/Mar/17 $$\mathrm{A}\:\mathrm{number}\:\mathrm{is}\:\mathrm{selected}\:\mathrm{at}\:\mathrm{random}\:\mathrm{from}\:\mathrm{the}\:\mathrm{integers}\:\mathrm{10}\:\mathrm{to}\:\mathrm{35}\:\mathrm{exclussive},\:\mathrm{such} \\ $$$$\mathrm{that}\:\mathrm{the}\:\mathrm{chances}\:\mathrm{take}\:\mathrm{the}\:\mathrm{subsets}\:\mathrm{of}\:\mathrm{P},\:\mathrm{Q}\:\mathrm{and}\:\mathrm{R}\:\mathrm{respectively},\:\mathrm{where}\:\mathrm{P}\:\mathrm{is} \\ $$$$\mathrm{even}\:,\:\mathrm{Q}\:\mathrm{is}\:\mathrm{even}\:\mathrm{or}\:\mathrm{prime}\:\mathrm{number},\:\mathrm{and}\:\mathrm{R}\:\mathrm{is}\:\mathrm{odd}\:\mathrm{prime}\:\mathrm{numbers}.\:\mathrm{What}\:\mathrm{is} \\ $$$$\mathrm{the}\:\mathrm{probability}\: \\ $$$$\left(\mathrm{a}\right)\:\mathrm{That}\:\mathrm{exacly}\:\mathrm{one}\:\mathrm{of}\:\mathrm{the}\:\mathrm{events}\:\mathrm{of}\:\mathrm{the}\:\mathrm{subset}\:\mathrm{is}\:\mathrm{choosen}\:? \\ $$$$\left(\mathrm{b}\right)\:\mathrm{Of}\:\mathrm{choosen}\:\mathrm{at}\:\mathrm{most}\:\mathrm{two}\:\mathrm{of}\:\mathrm{the}\:\mathrm{subset}\:\mathrm{of}\:\mathrm{the}\:\mathrm{event}. \\ $$ Answered by mrW1…
Question Number 11600 by tawa last updated on 28/Mar/17 $$\mathrm{A}\:\mathrm{number}\:\mathrm{is}\:\mathrm{selected}\:\mathrm{at}\:\mathrm{random}\:\mathrm{from}\:\mathrm{the}\:\mathrm{integers}\:\mathrm{1}\:\mathrm{to}\:\mathrm{100}\:\mathrm{exclusive},\: \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{chance}\:\mathrm{of}\:\mathrm{choosing}\:\mathrm{at}\:\mathrm{random}\:\mathrm{a}\:\mathrm{two}\:\mathrm{digit}\:\mathrm{number}\:\mathrm{which}\:\mathrm{is} \\ $$$$\left(\mathrm{a}\right)\:\mathrm{Divisible}\:\mathrm{by}\:\mathrm{4} \\ $$$$\left(\mathrm{b}\right)\:\mathrm{The}\:\mathrm{multiple}\:\mathrm{of}\:\mathrm{5} \\ $$ Answered by mrW1 last updated on 29/Mar/17…
Question Number 142489 by jlewis last updated on 01/Jun/21 $$\mathrm{In}\:\:\mathrm{a}\:\mathrm{certain}\:\mathrm{urn}\:\mathrm{there}\:\mathrm{are}\:\mathrm{3}\:\mathrm{blue}, \\ $$$$\mathrm{2red}\:\mathrm{and}\:\mathrm{5}\:\mathrm{yellow}\:\mathrm{marbles}. \\ $$$$\mathrm{Calculate}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{atmost} \\ $$$$\mathrm{2}\:\mathrm{marbles}\:\mathrm{will}\:\mathrm{be}\:\mathrm{red}\:\mathrm{if}\:\mathrm{3}\:\mathrm{marbles} \\ $$$$\:\mathrm{are}\:\mathrm{drawn}\:\mathrm{without}\:\mathrm{replacement} \\ $$ Commented by mr W last…
Question Number 76650 by john santu last updated on 29/Dec/19 $${two}\:{dice}\:{are}\:{tossed}\:{together}\:\mathrm{4}\:{times}. \\ $$$${the}\:{odds}\:{appear}\:{that}\:{the}\:{number}\: \\ $$$${on}\:{the}\:{first}\:{dice}\:{us}\:{twice}\:{the}\:{number} \\ $$$${on}\:{the}\:{second}\:{dice}\:{exactly}\:{twice}\:? \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 76651 by john santu last updated on 29/Dec/19 $${if}\:{a}\:{and}\:{b}\:{two}\:{numbers}\:{do}\:{not}\:{have}\: \\ $$$${to}\:{be}\:{chosen}\:{randomly}\:{and}\:{with}\: \\ $$$${returns}\:{from}\:{the}\:{set}\:\left\{\mathrm{1},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5}\right\}.\:{what}\: \\ $$$${probability}\:{that}\:\frac{{a}}{{b}}\:{is}\:{an}\:{integer}\:? \\ $$ Answered by benjo 1/2 santuyy last…
Question Number 11101 by FilupS last updated on 12/Mar/17 Commented by FilupS last updated on 12/Mar/17 $$\mathrm{assume}\:\mathrm{that}\:\mathrm{any}\:\mathrm{drawn}\:\mathrm{cards}\:\mathrm{are}\:\mathrm{not} \\ $$$$\mathrm{returned} \\ $$ Answered by DrDaveR last…