Question Number 182952 by mr W last updated on 17/Dec/22 $${what}\:{is}\:{the}\:{probability}\:{that}\:{at}\:{least} \\ $$$${two}\:{from}\:\mathrm{23}\:{people}\:{have}\:{birthday}\:{at} \\ $$$${the}\:{same}\:{day}? \\ $$$$ \\ $$$$\left({an}\:{unsolved}\:{old}\:{question}\right) \\ $$ Answered by aleks041103 last…
Question Number 117339 by john santu last updated on 11/Oct/20 $${a}\:{coin}\:{tossed}\:\mathrm{8}\:{times}.\:{Probability} \\ $$$${of}\:{appearing}\:{head}\:{at}\:{least}\:\mathrm{3}\:{times}\:{is} \\ $$$$\_\_ \\ $$ Answered by bemath last updated on 11/Oct/20 $$\mathrm{by}\:\mathrm{Binomial}\:\mathrm{distribution}\:…
Question Number 182620 by cortano1 last updated on 12/Dec/22 Answered by Acem last updated on 12/Dec/22 $$\:{P}\:\left(\mathrm{1}{st}\:{is}\:{white},\:{B}_{{A}} \right)=\:\frac{\frac{\mathrm{3}}{\mathrm{5}}\:×\:\frac{\mathrm{3}}{\mathrm{5}}}{\frac{\mathrm{3}}{\mathrm{5}}\:×\:\frac{\mathrm{3}}{\mathrm{5}}\:+\:\frac{\mathrm{3}}{\mathrm{50}}\:+\:\frac{\mathrm{3}}{\mathrm{100}}\:+\:\frac{\mathrm{1}}{\mathrm{100}}}\:=\:\frac{\mathrm{18}}{\mathrm{23}} \\ $$ Terms of Service Privacy Policy…
Question Number 116983 by Olaf last updated on 08/Oct/20 $$\mathrm{Luigi},\:\mathrm{an}\:\mathrm{Italian}\:\mathrm{cook},\:\mathrm{drops}\:\mathrm{a}\:\mathrm{spaghetti} \\ $$$$\mathrm{which}\:\mathrm{breaks}\:\mathrm{into}\:\mathrm{three}\:\mathrm{pieces}. \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{of}\:\mathrm{making}\:\mathrm{a} \\ $$$$\mathrm{triangle}\:\mathrm{with}\:\mathrm{the}\:\mathrm{three}\:\mathrm{pieces}\:? \\ $$ Commented by mr W last updated on…
Question Number 182429 by mr W last updated on 09/Dec/22 Commented by mr W last updated on 09/Dec/22 $${two}\:{circles}\:{with}\:{radius}\:{r}\:{have}\:{a} \\ $$$${distance}\:{of}\:\mathrm{3}{r}\:{from}\:{center}\:{to}\:{center}. \\ $$$${two}\:{points}\:{are}\:{randomly}\:{selected}\: \\ $$$${inside}\:{the}\:{circles}.…
Question Number 182360 by Rasheed.Sindhi last updated on 08/Dec/22 $$\mathrm{In}\:\mathrm{equation}\:\mathrm{ax}^{\mathrm{2}} +\mathrm{bx}+\mathrm{c}=\mathrm{0},\:\mathrm{a},\mathrm{b},\mathrm{c}\:\mathrm{are} \\ $$$$\mathrm{randomly}\:\mathrm{selected}\:\mathrm{from}\:\mathrm{integers}; \\ $$$$\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{roots} \\ $$$$\mathrm{will}\:\mathrm{be}\:\mathrm{real}? \\ $$ Commented by mr W last updated…
Question Number 182331 by ali009 last updated on 07/Dec/22 $${a}\:{box}\:{contains}\:\mathrm{5}\:{white}\:{balls}\:{and}\:{some}\:{black} \\ $$$${balls}.\:{if}\:{the}\:{probability}\:{of}\:{drawing}\:{a}\:{black} \\ $$$${ball}\:{from}\:{the}\:{bag}\:{is}\:{twice}\:{the}\:{prbability} \\ $$$${of}\:{drawimg}\:{a}\:{white}\:{ball}\:{then}\:{find}\:{number} \\ $$$${of}\:{black}\:{balls}. \\ $$ Answered by Acem last updated…
Question Number 50855 by peter frank last updated on 21/Dec/18 $${F}\mathrm{or}\:{the}\:{random}\:{variable} \\ $$$${x}\:{show}\:{that} \\ $$$$\left.{a}\right){Var}\left({x}\right)={E}^{\mathrm{2}} \left({x}\right)−\left[{E}\left({x}\right)\right]^{\mathrm{2}} \\ $$$$\left.{b}\right){Var}\left({ax}+{b}\right)={a}^{\mathrm{2}} {Var}\left({x}\right) \\ $$$$ \\ $$ Answered by…
Question Number 50856 by peter frank last updated on 21/Dec/18 $${show}\:{that} \\ $$$$\underset{\mathrm{x}=\mathrm{0}} {\overset{\mathrm{n}} {\sum}}{xp}\left({x}\right)={np}\:{given}\: \\ $$$${that}\:{p}\left({x}\right)=^{\mathrm{n}} {C}_{\mathrm{x}} {p}^{{x}} {q}^{{n}−{x}} \\ $$ Answered by Smail…
Question Number 50770 by rahul 19 last updated on 20/Dec/18 Commented by rahul 19 last updated on 20/Dec/18 $$?? \\ $$ Terms of Service Privacy…