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Category: Probability and Statistics

You-flip-two-fair-six-sidded-dice-and-add-the-number-of-spots-what-probability-of-getting-a-number-divisible-by-2-but-not-by-5-

Question Number 131062 by benjo_mathlover last updated on 01/Feb/21 $$\mathrm{You}\:\mathrm{flip}\:\mathrm{two}\:\mathrm{fair}\:\mathrm{six}−\mathrm{sidded}\:\mathrm{dice}\:\mathrm{and}\:\mathrm{add} \\ $$$$\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\mathrm{spots}.\:\mathrm{what}\:\mathrm{probability}\:\mathrm{of}\:\mathrm{getting} \\ $$$$\mathrm{a}\:\mathrm{number}\:\mathrm{divisible}\:\mathrm{by}\:\mathrm{2}\:\mathrm{but}\:\mathrm{not}\:\mathrm{by}\:\mathrm{5}\:? \\ $$ Answered by EDWIN88 last updated on 01/Feb/21 $${Write}\:{L}_{{n}} \:{for}\:{even}\:{the}\:{number}\:{is}…

A-box-contains-4-black-5-white-and-6-red-shirts-3-are-drawn-from-the-box-one-after-the-other-without-replacement-Find-the-proability-that-two-of-the-same-color-and-one-a-different-color-

Question Number 128103 by byaw last updated on 04/Jan/21 $$ \\ $$$$\mathrm{A}\:\mathrm{box}\:\mathrm{contains}\:\mathrm{4}\:\mathrm{black}\:\mathrm{5}\:\mathrm{white} \\ $$$$\mathrm{and}\:\mathrm{6}\:\mathrm{red}\:\mathrm{shirts}.\:\mathrm{3}\:\mathrm{are}\:\mathrm{drawn}\:\mathrm{from} \\ $$$$\mathrm{the}\:\mathrm{box}\:\mathrm{one}\:\mathrm{after}\:\mathrm{the}\:\mathrm{other}\: \\ $$$$\mathrm{without}\:\mathrm{replacement}.\:\mathrm{Find}\:\mathrm{the} \\ $$$$\mathrm{proability}\:\mathrm{that}\:\mathrm{two}\:\mathrm{of}\:\mathrm{the}\:\mathrm{same} \\ $$$$\mathrm{color}\:\mathrm{and}\:\mathrm{one}\:\mathrm{a}\:\mathrm{different}\:\mathrm{color}. \\ $$ Answered…

Question-61856

Question Number 61856 by mr W last updated on 10/Jun/19 Commented by mr W last updated on 10/Jun/19 $${point}\:{P}\:{is}\:{randomly}\:{selected}\:{in}\:{a} \\ $$$${triangle}\:{with}\:{side}\:{lengthes}\:{a},{b},{c}. \\ $$$$\left(\mathrm{1}\right)\:{find}\:{the}\:{average}\:{value}\:{of}\:{the}\:{sum} \\ $$$${of}\:{distances}\:{from}\:{P}\:{to}\:{the}\:{vertexes}.…

3-2-cos-1-2-2-pi-2-1-4-sin-1-2-2pi-2-pi-2-tan-1-2-pi-

Question Number 192622 by sg74656 last updated on 23/May/23 $$\frac{\mathrm{3}}{\mathrm{2}}\mathrm{cos}^{−\mathrm{1}} \sqrt{\frac{\mathrm{2}}{\mathrm{2}+\pi^{\mathrm{2}} }}+\frac{\mathrm{1}}{\mathrm{4}}\mathrm{sin}^{−\mathrm{1}} \frac{\mathrm{2}\sqrt{\mathrm{2}\pi}}{\mathrm{2}+\pi^{\mathrm{2}} }+\mathrm{tan}^{−\mathrm{1}} \frac{\sqrt{\mathrm{2}}}{\pi} \\ $$ Answered by witcher3 last updated on 24/May/23 $$\mathrm{nice}\:\mathrm{one}\:\mathrm{tchek}\:\mathrm{please}\:\mathrm{the}\:\mathrm{expression}\:\mathrm{if}\:\mathrm{it}\:\mathrm{is}\:\mathrm{correct}…