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Category: Probability and Statistics

A-How-many-even-numbers-of-3-different-digits-bigger-than-300-can-be-formed-from-1-2-3-4-B-How-many-numbers-bigger-than-300-can-be-formed-from-the-same-group-

Question Number 180200 by Acem last updated on 09/Nov/22 $$\left.\boldsymbol{{A}}\right)\:{How}\:{many}\:{even}\:{numbers}\:{of}\:\mathrm{3}\:{different}\:{digits} \\ $$$$\:{bigger}\:{than}\:\mathrm{300}\:{can}\:{be}\:{formed}\:{from}\:\left\{\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:\mathrm{4}\right\} \\ $$$$\left.\boldsymbol{{B}}\right)\:{How}\:{many}\:{numbers}\:{bigger}\:{than}\:\mathrm{300}\:{can} \\ $$$$\:\:\:\:\:\:\:\:{be}\:{formed}\:{from}\:{the}\:{same}\:{group} \\ $$ Commented by Frix last updated on 09/Nov/22…

With-3-blue-2-red-and-2-pink-beads-how-many-necklaces-can-be-made-if-there-a-is-no-clasp-b-is-a-clasp-

Question Number 180192 by Acem last updated on 08/Nov/22 $${With}\:\mathrm{3}\:{blue},\:\mathrm{2}\:{red}\:{and}\:\mathrm{2}\:{pink}\:{beads}\:{how}\:{many} \\ $$$$\:{necklaces}\:{can}\:{be}\:{made}\:{if}\:{there}: \\ $$$$\:{a}\bullet\:{is}\:{no}\:{clasp}\:\:\:\:\:\:{b}\bullet\:{is}\:{a}\:{clasp} \\ $$$$\: \\ $$ Commented by mr W last updated on…

Question-180190

Question Number 180190 by Ar Brandon last updated on 08/Nov/22 Answered by Acem last updated on 09/Nov/22 $$\:{X}\left(\Omega\right)=\:\left\{\mathrm{5},\:\mathrm{2},\:\mathrm{1},\:\mathrm{0}\right\}\:;\:{P}\left({X}=\mathrm{0}\right)=\:\mathrm{0}.\mathrm{4} \\ $$$$ \\ $$$$\:{x}_{{i}} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\mathrm{5}\:\:\:\:\:\:\:\:\:\mathrm{2}\:\:\:\:\:\:\:\:\mathrm{1}\:\:\:\:\:\:\:\:\:\mathrm{0} \\ $$$${P}\left({X}\:={x}_{{i}}…

A-maintenance-manager-wishes-to-repair-8-out-of-15-machines-down-In-how-many-ways-can-he-create-a-list-of-8-machines-a-If-he-has-to-precise-the-hour-of-repair-of-each-of-them-b-If-he-doesn-t-

Question Number 180186 by Ar Brandon last updated on 08/Nov/22 $$\:\:\:\mathrm{A}\:\mathrm{maintenance}\:\mathrm{manager}\:\mathrm{wishes}\:\mathrm{to}\:\mathrm{repair}\:\mathrm{8}\:\mathrm{out}\:\mathrm{of}\: \\ $$$$\mathrm{15}\:\mathrm{machines}\:\mathrm{down}.\:\mathrm{In}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can}\:\mathrm{he}\:\mathrm{create} \\ $$$$\mathrm{a}\:\mathrm{list}\:\mathrm{of}\:\mathrm{8}\:\mathrm{machines} \\ $$$$\mathrm{a}\backslash\:\mathrm{If}\:\mathrm{he}\:\mathrm{has}\:\mathrm{to}\:\mathrm{precise}\:\mathrm{the}\:\mathrm{hour}\:\mathrm{of}\:\mathrm{repair}\:\mathrm{of}\:\mathrm{each}\:\mathrm{of}\:\mathrm{them}\:? \\ $$$$\mathrm{b}\backslash\:\mathrm{If}\:\mathrm{he}\:\mathrm{doesn}'\mathrm{t}\:\mathrm{precise}\:\mathrm{the}\:\mathrm{hour}\:\mathrm{of}\:\mathrm{repair}\:\mathrm{of}\:\mathrm{each}\:\mathrm{of}\:\mathrm{them}\:? \\ $$$$\mathrm{c}\backslash\:\mathrm{Haven}\:\mathrm{chosen}\:\mathrm{the}\:\mathrm{8}\:\mathrm{machines},\:\mathrm{in}\:\mathrm{how}\:\mathrm{many}\:\mathrm{ways}\:\mathrm{can} \\ $$$$\mathrm{he}\:\mathrm{define}\:\mathrm{the}\:\mathrm{order}\:\mathrm{of}\:\mathrm{repair}\:\mathrm{of}\:\mathrm{each}\:\mathrm{of}\:\mathrm{them}\:? \\ $$…

How-many-words-can-be-formed-from-letters-of-the-Your-answer-is-wrong-So-that-they-shouldn-t-start-with-o-neither-w-and-shouldn-t-end-with-w-and-should-be-r-amp-s-adjacents-Oya-

Question Number 180162 by Acem last updated on 08/Nov/22 $${How}\:{many}\:{words}\:{can}\:{be}\:{formed}\:{from}\:{letters}\:{of}\:{the} \\ $$$$\:“{Your}\:{answer}\:{is}\:{wrong}''?\:{So}\:{that}\:{they}\:{shouldn}'{t} \\ $$$$\:{start}\:{with}\:'{o}'\:{neither}\:'{w}'\:{and}\:\:{shouldn}'{t}\:{end} \\ $$$$\:{with}\:'{w}',\:{and}\:{should}\:{be}'{r}'\:\&\:'{s}'\:{adjacents}. \\ $$$$ \\ $$$$\:\cancel{{O}ya}…{n},\:\cancel{{W}en}…{y},\:{Iog}…\cancel{{w}}\:,\:{You}\cancel{{r}w}\cancel{{s}}…{e}\:\::\:{are}\:{invalid} \\ $$$$\:{Enrsow}…{g}\::\:{is}\:{valid} \\ $$$$ \\…

1-twenty-men-are-invited-for-a-dinner-and-are-to-be-seated-around-a-circular-table-how-many-diffrent-arrangment-are-possible-2-with-ten-men-and-ten-women-how-many-diffrent-arrangment-are-possible-t

Question Number 180151 by ali009 last updated on 07/Nov/22 $$\left.\mathrm{1}\right){twenty}\:{men}\:{are}\:{invited}\:{for}\:{a}\:{dinner}\:{and}\:{are}\:{to}\: \\ $$$${be}\:{seated}\:{around}\:{a}\:{circular}\:{table}.{how} \\ $$$${many}\:{diffrent}\:{arrangment}\:{are}\:{possible}? \\ $$$$\left.\mathrm{2}\right){with}\:{ten}\:{men}\:{and}\:{ten}\:{women}.\:{how}\:{many} \\ $$$${diffrent}\:{arrangment}\:{are}\:{possible}\:{that} \\ $$$${alternate}\:{men}\:{and}\:{women}? \\ $$$$ \\ $$ Answered…

2-boxes-1st-contains-4-white-amp-6-black-balls-2nd-box-contains-8-white-amp-8-black-balls-We-randomly-draw-a-ball-got-a-black-one-What-s-probability-that-it-was-drawn-from-Box-2-

Question Number 179906 by Acem last updated on 04/Nov/22 $$\mathrm{2}\:{boxes},\:\mathrm{1}{st}\:{contains}\:\mathrm{4}\:{white}\:\&\:\mathrm{6}\:{black}\:{balls} \\ $$$$\:\mathrm{2}{nd}\:{box}\:{contains}\:\mathrm{8}\:{white}\:\&\:\mathrm{8}\:{black}\:{balls} \\ $$$$\:{We}\:{randomly}\:{draw}\:{a}\:{ball},\:{got}\:{a}\:{black}\:{one} \\ $$$$\:{What}'{s}\:{probability}\:{that}\:{it}\:{was}\:{drawn}\:{from}\:{Box}_{\mathrm{2}} ? \\ $$ Answered by som(math1967) last updated on…

Find-the-probability-that-n-people-n-365-selected-at-random-will-have-n-different-birthdays-

Question Number 179545 by cortano1 last updated on 30/Oct/22 $$\:\mathrm{Find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{n}\:\mathrm{people}\: \\ $$$$\:\:\left(\mathrm{n}\leqslant\mathrm{365}\right)\:\mathrm{selected}\:\mathrm{at}\:\mathrm{random}\:\mathrm{will} \\ $$$$\:\:\mathrm{have}\:\mathrm{n}\:\mathrm{different}\:\mathrm{birthdays}. \\ $$ Commented by mr W last updated on 30/Oct/22 $${for}\:\mathrm{2}\:{people}\:{i}\:{got}\:{p}\approx\mathrm{99}.\mathrm{5\%}…