Question Number 35476 by NECx last updated on 19/May/18 $${In}\:{a}\:{match}\:{between}\:{A}\:{and}\:{B}.{The} \\ $$$${probability}\:{of}\:{A}\:{winning}\:{is}\:\frac{\mathrm{4}}{\mathrm{11}}, \\ $$$${the}\:{probabilith}\:{of}\:{B}\:{winning}\:{is}\:\frac{\mathrm{2}}{\mathrm{11}}. \\ $$$${What}\:{is}\:{the}\:{probability}\:{if}\:{they} \\ $$$${were}\:{to}\:{draw}\:{the}\:{match}? \\ $$ Commented by Rasheed.Sindhi last updated…
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Question Number 100017 by bemath last updated on 24/Jun/20 $$\frac{\mathrm{d}^{\mathrm{2}} \mathrm{y}}{\mathrm{dx}^{\mathrm{2}} }\:+\:\mathrm{y}\:=\:\mathrm{sec}\:\mathrm{3x}\: \\ $$ Answered by mathmax by abdo last updated on 24/Jun/20 $$\mathrm{y}^{''} \:+\mathrm{y}\:=\frac{\mathrm{1}}{\mathrm{cos}\left(\mathrm{3x}\right)}\:\:\:\:\:\left(\mathrm{he}\right)\:\rightarrow\mathrm{r}^{\mathrm{2}}…
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Question Number 164995 by Mathematification last updated on 24/Jan/22 Answered by aleks041103 last updated on 25/Jan/22 $${Let}'{s}\:{label}\:{the}\:{top}\:{vertex}\:{V}^{\:+} ,\:{the}\:{bottom} \\ $$$${one}\:−\:{V}^{\:−} ,\:{and}\:{the}\:{verteces}\:{on}\:{the}\:{base}\:−\:{O}. \\ $$$${Notation}: \\ $$$${p}\left({n}\mid{A}\rightarrow{B}\right)\:−\:{the}\:{probability}\:{of}\:{arriving}…
Question Number 33867 by Joel578 last updated on 26/Apr/18 $$\mathrm{Given}\:{A}\left({t}\right)\:\mathrm{is}\:\mathrm{an}\:\mathrm{area}\:\mathrm{bounded}\:\mathrm{between}\: \\ $$$${y}\:=\:{x}^{\mathrm{2}} \:+\:{tx}\:\mathrm{and}\:\mathrm{x}−\mathrm{axis},\:\:\mathrm{0}\:<\:{t}\:<\:\mathrm{2} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{propability}\:\mathrm{we}\:\mathrm{choose}\:{t} \\ $$$$\mathrm{so}\:\frac{\mathrm{1}}{\mathrm{48}}\:\leqslant\:{A}\left({t}\right)\:\leqslant\:\frac{\mathrm{1}}{\mathrm{16}} \\ $$ Answered by MJS last updated on…
Question Number 99230 by Ar Brandon last updated on 19/Jun/20 $$\ast\backslash\mathcal{I}\mathrm{n}\:\mathrm{a}\:\mathrm{certain}\:\mathrm{country},\:\mathrm{4}\:\mathrm{people}\:\mathrm{are}\:\mathrm{tested}\:\mathrm{positive}\:\mathrm{for}\:\mathrm{the}\:\mathrm{covid}−\mathrm{19}\:\mathrm{per}\:\mathrm{hour}. \\ $$$$\mathcal{D}\mathrm{etermine}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{in}\:\mathrm{an}\:\mathrm{hour}; \\ $$$$\mathrm{a}\backslash\mathrm{Exactly}\:\mathrm{2}\:\mathrm{people}\:\mathrm{are}\:\mathrm{contaminated} \\ $$$$\mathrm{b}\backslash\mathrm{At}\:\mathrm{most}\:\mathrm{one}\:\mathrm{person}\:\mathrm{is}\:\mathrm{contaminated}. \\ $$$$\mathrm{c}\backslash\mathrm{Between}\:\mathrm{2}\:\mathrm{and}\:\mathrm{5}\:\mathrm{people}\:\mathrm{are}\:\mathrm{contaminated}. \\ $$ Commented by john santu…
Question Number 99229 by Ar Brandon last updated on 19/Jun/20 $$\ast\backslash\:\mathcal{I}\mathrm{n}\:\mathrm{the}\:\mathrm{fight}\:\mathrm{against}\:\mathrm{covid}−\mathrm{19},\:\mathrm{the}\:\mathrm{probability}\:\mathrm{of}\:\mathrm{finding}\:\mathrm{an}\:\mathrm{individual} \\ $$$$\:\:\:\:\:\mathrm{with}\:\mathrm{signs}\:\mathrm{of}\:\mathrm{allergy}\:\mathrm{during}\:\mathrm{the}\:\mathrm{injection}\:\mathrm{of}\:\mathrm{chloroquine}\:\mathrm{is}\:\mathrm{assumed}\:\mathrm{to}\:\mathrm{be}\:\mathrm{0}.\mathrm{2} \\ $$$$\:\:\:\:\:\mathcal{F}\mathrm{or}\:\mathrm{a}\:\mathrm{selection}\:\mathrm{of}\:\mathrm{10}\:\mathrm{people},\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}; \\ $$$$\mathrm{a}\backslash\mathcal{A}\mathrm{t}\:\mathrm{least}\:\mathrm{3}\:\mathrm{people}\:\mathrm{show}\:\mathrm{signs}\:\mathrm{of}\:\mathrm{this}\:\mathrm{allergy}. \\ $$$$\mathrm{b}\backslash\mathrm{Between}\:\mathrm{3}\:\mathrm{and}\:\mathrm{5}\:\mathrm{people}\:\mathrm{present}\:\mathrm{these}\:\mathrm{signs}. \\ $$$$\mathrm{c}\backslash\mathcal{D}\mathrm{etermine}\:\mathrm{the}\:\mathrm{mathematical}\:\mathrm{expectation}\:\mathrm{and}\:\mathrm{the}\:\mathrm{standard}\:\mathrm{deviation}. \\ $$ Terms of…