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Question Number 47837 by Aknabob1 last updated on 15/Nov/18 $${there}\:{are}\:\mathrm{5}\:{possible}\:{answers}\:{for}\:{each}\:{question}\:{of}\:{a}\: \\ $$$${multiple}\:{choice}\:{exam}\:{containing}\:\mathrm{10}\:{questions}.\: \\ $$$${if}\:{a}\:{condidate}\:{answered}\:{it}\:{randomly}.\: \\ $$$${find}\:{the}\:{probability}\:{that}\:{he}\:{gets}\:\left({i}\right)\:{no}\:{question}\:{right} \\ $$$$\:\left({ii}\right)\:\mathrm{3}\:{questions}\:{right}\:\left({iii}\right)\:\mathrm{5}\:{questions}\:{right}\: \\ $$$$\:\left({iv}\right)\:{at}\:{least}\:{one}\:{question}\:{right}\: \\ $$$$ \\ $$$$ \\…
Question Number 178628 by Tawa11 last updated on 19/Oct/22 Commented by mr W last updated on 19/Oct/22 $${you}\:{didn}'{t}\:{tell}\:{that}\:{there}\:{are}\:{and}\:{how} \\ $$$${mang}\:{balls}\:{of}\:{other}\:{colors}\:{in}\:{the}\:{bag}. \\ $$$${you}\:{also}\:{didn}'{t}\:{tell}\:{how}\:{many}\: \\ $$$${different}\:{colors}\:{the}\:{balls}\:{have}. \\…
Question Number 178626 by mr W last updated on 19/Oct/22 Commented by Frix last updated on 20/Oct/22 $$\mathrm{am}\:\mathrm{I}\:\mathrm{right}\:\mathrm{with}\:\mathrm{this}\:\mathrm{conception}? \\ $$$$\mathrm{put}\:\mathrm{1}\:\mathrm{student}\:\mathrm{of}\:\mathrm{each}\:\mathrm{college}\:\mathrm{at}\:\mathrm{a}\:\mathrm{board}\:\mathrm{and} \\ $$$$\mathrm{then}\:“\mathrm{draw}''\:\mathrm{the}\:\mathrm{others}\:\mathrm{which}\:\mathrm{is}\:\mathrm{the}\:\mathrm{same} \\ $$$$\mathrm{as}\:\mathrm{try}\:\mathrm{each}\:\mathrm{possible}\:\mathrm{combination}\:\mathrm{of}\:\mathrm{the}\:\mathrm{10} \\…
Question Number 178488 by cortano1 last updated on 17/Oct/22 $$ \\ $$$$\mathrm{I}\:\mathrm{have}\:\mathrm{two}\:\mathrm{children}.\:\mathrm{One}\:\mathrm{is}\:\mathrm{a}\:\mathrm{boy} \\ $$$$\mathrm{born}\:\mathrm{on}\:\mathrm{a}\:\mathrm{Tuesday}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\: \\ $$$$\mathrm{probbility}\:\mathrm{I}\:\mathrm{have}\:\mathrm{two}\:\mathrm{boys} \\ $$ Answered by Acem last updated on 17/Oct/22…
Question Number 112502 by bemath last updated on 08/Sep/20 Answered by floor(10²Eta[1]) last updated on 08/Sep/20 $$\mathrm{N}=\mathrm{10a}+\mathrm{b} \\ $$$$\mid\mathrm{a}^{\mathrm{2}} −\mathrm{b}^{\mathrm{2}} \mid=\mathrm{p} \\ $$$$\mathrm{suppose}\:\mathrm{WLOG}\:\mathrm{that}\:\mathrm{a}>\mathrm{b} \\ $$$$\left(\mathrm{a}−\mathrm{b}\right)\left(\mathrm{a}+\mathrm{b}\right)=\mathrm{p}…
Question Number 112359 by udaythool last updated on 07/Sep/20 $$\mathrm{Suppose}\:\mathrm{a}\:\mathrm{job}\:\mathrm{consists}\:\mathrm{of}\:\boldsymbol{{n}}\:\mathrm{tasks} \\ $$$$\mathrm{each}\:\mathrm{of}\:\mathrm{which}\:\mathrm{takes}\:\mathrm{time}\:\boldsymbol{{t}} \\ $$$$\mathrm{seconds}.\:\mathrm{Thus}\:\mathrm{if}\:\mathrm{there}\:\mathrm{are}\:\mathrm{no} \\ $$$$\mathrm{failuers}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{over}\:\mathrm{all}\:\mathrm{computed} \\ $$$$\mathrm{nodes}\:\mathrm{of}\:\mathrm{the}\:\mathrm{time}\:\mathrm{taken}\:\mathrm{to}\: \\ $$$$\mathrm{execute}\:\mathrm{tasks}\:\mathrm{at}\:\mathrm{that}\:\mathrm{node}\:\mathrm{is}\:\boldsymbol{{nt}}. \\ $$$$\mathrm{Sppose}\:\mathrm{also}\:\mathrm{that}\:\mathrm{the}\:\mathrm{probability} \\ $$$$\mathrm{of}\:\mathrm{a}\:\mathrm{task}\:\mathrm{failing}\:\mathrm{is}\:\boldsymbol{{p}}\:\mathrm{per}\:\mathrm{job}\:\mathrm{per} \\…
Question Number 177814 by mr W last updated on 09/Oct/22 $${The}\:{probability}\:{that}\:{you}\:{give}\:{the}\:{right} \\ $$$${answer}\:{to}\:{this}\:{question}\:{is}… \\ $$$$ \\ $$$$\left.{A}\left.\right)\left.\:\left.\mathrm{0\%}\:\:\:\:{B}\right)\:\mathrm{25\%}\:\:\:\:{C}\right)\:\mathrm{50\%}\:\:\:\:{D}\right)\mathrm{100\%} \\ $$ Commented by cortano1 last updated on…
Question Number 112163 by bobhans last updated on 06/Sep/20 $$\mathrm{In}\:\mathrm{a}\:\mathrm{class}\:\mathrm{of}\:\mathrm{30}\:\mathrm{pupils}\:,\:\mathrm{12}\:\mathrm{are}\:\mathrm{girls}\:\mathrm{and}\: \\ $$$$\mathrm{2}\:\mathrm{of}\:\mathrm{them}\:\mathrm{are}\:\mathrm{short}−\mathrm{sighted}.\:\mathrm{Among}\: \\ $$$$\mathrm{18}\:\mathrm{boys}\:,\:\mathrm{6}\:\mathrm{are}\:\mathrm{short}−\mathrm{sighted}\:.\:\mathrm{If}\:\mathrm{a}\:\mathrm{pupil} \\ $$$$\mathrm{is}\:\mathrm{selected}\:\mathrm{at}\:\mathrm{random},\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability} \\ $$$$\mathrm{that}\:\mathrm{the}\:\mathrm{pupil}\:\mathrm{chosen}\:\mathrm{will}\:\mathrm{be}\: \\ $$$$\begin{cases}{\left(\mathrm{a}\right)\:\mathrm{a}\:\mathrm{girls}}\\{\left(\mathrm{b}\right)\:\mathrm{short}−\mathrm{sighted}}\\{\left(\mathrm{c}\right)\:\mathrm{a}\:\mathrm{short}−\mathrm{sighted}\:\mathrm{boy}}\end{cases} \\ $$ Answered by MJS_new…