Question Number 108448 by bobhans last updated on 17/Aug/20 $$\:\:\frac{\beta{o}\beta{hans}}{\nparallel} \\ $$$${The}\:{probability}\:{that}\:{James}\:{speaks}\:{the}\:{truth}\:{is}\:\mathrm{60}\:\% \\ $$$${and}\:{for}\:{John}\:{this}\:{probability}\:{is}\:\mathrm{30}\:\%. \\ $$$${What}\:{is}\:{the}\:{probability}\:{that}\:{they}\:{contradict}\: \\ $$$${each}\:{other}?\: \\ $$ Terms of Service Privacy Policy…
Question Number 108399 by bobhans last updated on 16/Aug/20 Commented by mr W last updated on 16/Aug/20 $$\mathrm{1}−\frac{\mathrm{9}!}{\mathrm{10}!/\mathrm{2}!}=\frac{\mathrm{4}}{\mathrm{5}} \\ $$ Commented by bobhans last updated…
Question Number 108377 by 1549442205PVT last updated on 16/Aug/20 $$\mathrm{There}\:\mathrm{are}\:\mathrm{20}\:\mathrm{white}\:\mathrm{and}\:\mathrm{10}\:\mathrm{black}\:\mathrm{balls} \\ $$$$\mathrm{in}\:\mathrm{the}\:\mathrm{box}.\mathrm{In}\:\mathrm{turn}\:\mathrm{draw}\:\mathrm{4}\:\mathrm{balls}\:\mathrm{and} \\ $$$$\mathrm{each}\:\mathrm{draw}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{returned}\:\mathrm{to}\:\mathrm{the}\:\mathrm{box} \\ $$$$\mathrm{before}\:\mathrm{the}\:\mathrm{next}\:\mathrm{ball}\:\mathrm{is}\:\mathrm{drawn}\:\mathrm{and}\:\mathrm{the}\: \\ $$$$\mathrm{balls}\:\mathrm{in}\:\mathrm{the}\:\mathrm{box}\:\mathrm{are}\:\mathrm{mixed}.\mathrm{What}\:\mathrm{is}\:\mathrm{the} \\ $$$$\mathrm{probability}\:\mathrm{that}\:\mathrm{out}\:\mathrm{of}\:\mathrm{four}\:\mathrm{balls} \\ $$$$\mathrm{taken}\:\mathrm{out}\:\mathrm{there}\:\mathrm{will}\:\mathrm{be}\:\mathrm{two}\:\mathrm{white}\:\mathrm{balls}? \\ $$ Answered…
Question Number 108334 by john santu last updated on 16/Aug/20 $$\:\:\:\frac{\multimap{JS}\multimap}{\bigtriangleup} \\ $$$${If}\:{a}\:{random}\:{variable}\:{X}\:{follows}\:{normal} \\ $$$${distribution}\:{with}\:{mean}\:\mathrm{30}\:{and}\: \\ $$$${variance}\:\mathrm{25}.\:{What}\:{is}\:{the}\:{probalility} \\ $$$${of}\:{X}\:{is}\:{less}\:{than}\:\mathrm{28}\:? \\ $$ Answered by bemath last…
Question Number 108319 by bobhans last updated on 16/Aug/20 $$\:{find}\:{general}\:{solution}\: \\ $$$$\:\:\:\:\:\:{x}\:\frac{{dy}}{{dx}}\:+\:\mathrm{3}{xy}\:=\:\mathrm{6} \\ $$ Answered by Dwaipayan Shikari last updated on 16/Aug/20 $$\frac{{dy}}{{dx}}+\mathrm{3}{y}=\frac{\mathrm{6}}{{x}} \\ $$$${I}.\:{F}={e}^{\int\mathrm{3}}…
Question Number 173842 by byaw last updated on 19/Jul/22 $$ \\ $$The probability that an athlete will not win any of the three races is…
Question Number 107913 by hhryhrry2 last updated on 13/Aug/20 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{X}_{\mathrm{0}} \:=\:\frac{\mathrm{X}_{\mathrm{1}} .\mathrm{F}_{\mathrm{y1}} \:+\:\mathrm{X}_{\mathrm{2}} .\mathrm{F}_{\mathrm{y2}} \:+\:…..}{\mathrm{F}_{\mathrm{y2}} \:+\:\mathrm{F}_{\mathrm{y2}\:} +\:…..} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{Y}_{\mathrm{0}} \:=\:\frac{\mathrm{Y}_{\mathrm{1}} .\mathrm{F}_{\mathrm{x1}} \:+\:\mathrm{Y}_{\mathrm{2}} .\mathrm{F}_{\mathrm{x2}} \:+\:……}{\mathrm{F}_{\mathrm{x1}} \:+\:\mathrm{F}_{\mathrm{x2}}…
Question Number 107659 by bobhans last updated on 12/Aug/20 $$\:\:\:\:\:\oint\mathbb{B}\mathrm{obhans}\oint \\ $$$$\mathrm{If}\:\mathrm{all}\:\mathrm{the}\:\mathrm{letters}\:\mathrm{of}\:\mathrm{the}\:\mathrm{word}\:\mathrm{MISSISSIPPI}\:\mathrm{are}\:\mathrm{written}\:\mathrm{down}\: \\ $$$$\mathrm{at}\:\mathrm{random}\:,\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{all}\:\mathrm{the}\:\mathrm{four}\:\mathrm{S}\:\mathrm{appear}\:\mathrm{consecutively}\:\mathrm{is}\:\_\_\_ \\ $$ Answered by bemath last updated on 12/Aug/20 $$\:\:\:\:\:\:\:\divideontimes\mathcal{B}{e}\mathcal{M}{ath}\divideontimes \\…
Question Number 41026 by Tawa1 last updated on 31/Jul/18 Answered by tanmay.chaudhury50@gmail.com last updated on 31/Jul/18 Commented by tanmay.chaudhury50@gmail.com last updated on 31/Jul/18 $${pls}\:{check}… \\…
Question Number 171993 by Tawa11 last updated on 23/Jun/22 Commented by Tawa11 last updated on 23/Jun/22 $$\mathrm{A}\:\mathrm{soldier}\:\mathrm{fires}\:\mathrm{shots}\:\mathrm{from}\:\mathrm{his}\:\mathrm{rifle}\:\mathrm{and}\:\mathrm{he}\:\mathrm{is}\:\mathrm{expected}\:\mathrm{to}\:\mathrm{hit}\:\mathrm{a}\:\mathrm{target}\:\:\mathrm{5}\:\:\mathrm{out}\:\mathrm{of}\:\:\mathrm{6} \\ $$$$\mathrm{shots}.\:\mathrm{If}\:\mathrm{the}\:\mathrm{soldier}\:\mathrm{fires}\:\mathrm{five}\:\mathrm{shots},\:\mathrm{find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{he}\:\mathrm{will} \\ $$$$\left(\mathrm{a}\right)\:\:\mathrm{miss}\:\mathrm{each}\:\mathrm{time} \\ $$$$\left(\mathrm{b}\right)\:\:\mathrm{hit}\:\mathrm{the}\:\mathrm{target}\:\mathrm{thrice} \\ $$$$\left(\mathrm{c}\right)\:\:\mathrm{hit}\:\mathrm{the}\:\mathrm{target}\:\mathrm{at}\:\mathrm{most}\:\mathrm{twice}…