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Category: Probability and Statistics

Two-dice-are-tossed-simultaneously-Find-the-probability-of-any-showing-a-number-greater-than-five-

Question Number 101121 by byaw last updated on 30/Jun/20 $$\mathrm{Two}\:\mathrm{dice}\:\mathrm{are}\:\mathrm{tossed}\:\mathrm{simultaneously}. \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{of}\:\mathrm{any}\:\mathrm{showing} \\ $$$$\mathrm{a}\:\mathrm{number}\:\mathrm{greater}\:\mathrm{than}\:\mathrm{five}. \\ $$ Answered by MJS last updated on 30/Jun/20 $$\Rightarrow\:\mathrm{dice}\:\mathrm{A}\:{or}\:\mathrm{dice}\:\mathrm{B}\:=\:\mathrm{6} \\…

In-a-match-between-A-and-B-The-probability-of-A-winning-is-4-11-the-probabilith-of-B-winning-is-2-11-What-is-the-probability-if-they-were-to-draw-the-match-

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…

d-2-y-dx-2-y-sec-3x-

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}}…

Question-164995

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}…

Given-A-t-is-an-area-bounded-between-y-x-2-tx-and-x-axis-0-lt-t-lt-2-Find-the-propability-we-choose-t-so-1-48-A-t-1-16-

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…

In-a-certain-country-4-people-are-tested-positive-for-the-covid-19-per-hour-Determine-the-probability-that-in-an-hour-a-Exactly-2-people-are-contaminated-b-At-most-one-person-is-contaminated-c-B

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…