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Category: Probability and Statistics

A-and-B-play-a-game-in-which-they-alternately-toss-a-pair-of-dice-The-one-who-is-first-to-get-a-total-of-7-wins-the-game-Find-probability-that-the-one-who-tosses-second-will-win-the-game

Question Number 179542 by cortano1 last updated on 30/Oct/22 $$\:\:\:\mathrm{A}\:\mathrm{and}\:\mathrm{B}\:\mathrm{play}\:\mathrm{a}\:\mathrm{game}\:\mathrm{in}\:\mathrm{which}\:\mathrm{they} \\ $$$$\:\:\mathrm{alternately}\:\mathrm{toss}\:\mathrm{a}\:\mathrm{pair}\:\mathrm{of}\:\mathrm{dice}.\:\mathrm{The} \\ $$$$\:\:\mathrm{one}\:\mathrm{who}\:\mathrm{is}\:\mathrm{first}\:\mathrm{to}\:\mathrm{get}\:\mathrm{a}\:\mathrm{total}\:\mathrm{of}\:\mathrm{7}\:\mathrm{wins} \\ $$$$\:\:\mathrm{the}\:\mathrm{game}\:.\:\mathrm{Find}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{the}\:\mathrm{one} \\ $$$$\:\:\mathrm{who}\:\mathrm{tosses}\:\mathrm{second}\:\mathrm{will}\:\mathrm{win}\:\mathrm{the}\:\mathrm{game} \\ $$$$ \\ $$ Answered by Frix…

Given-a-set-data-2-2-3-4-5-5-5-8-8-9-11-14-find-the-value-of-Q-1-

Question Number 113919 by bemath last updated on 16/Sep/20 $${Given}\:{a}\:{set}\:{data}\:\: \\ $$$$:\:\mathrm{2},\mathrm{2},\mathrm{3},\mathrm{4},\mathrm{5},\mathrm{5},\mathrm{5},\mathrm{8},\mathrm{8},\mathrm{9},\mathrm{11},\mathrm{14}. \\ $$$${find}\:{the}\:{value}\:{of}\:{Q}_{\mathrm{1}} \\ $$ Answered by bemath last updated on 16/Sep/20 $${i}\:{got}\:{Q}_{\mathrm{1}} =\:{X}_{\frac{\mathrm{12}+\mathrm{2}}{\mathrm{4}}}…

A-bag-contains-6-red-5-white-and-4-black-balls-If-twl-balls-are-drawn-what-is-the-probability-that-none-of-them-are-red-

Question Number 113605 by bobhans last updated on 14/Sep/20 $$\mathrm{A}\:\mathrm{bag}\:\mathrm{contains}\:\mathrm{6}\:\mathrm{red},\:\mathrm{5}\:\mathrm{white}\:\mathrm{and}\:\mathrm{4}\:\mathrm{black}\:\mathrm{balls} \\ $$$$\mathrm{If}\:\mathrm{twl}\:\mathrm{balls}\:\mathrm{are}\:\mathrm{drawn}\:,\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{probability} \\ $$$$\mathrm{that}\:\mathrm{none}\:\mathrm{of}\:\mathrm{them}\:\mathrm{are}\:\mathrm{red}\:? \\ $$$$ \\ $$ Commented by bemath last updated on 14/Sep/20…

there-are-5-possible-answers-for-each-question-of-a-multiple-choice-exam-containing-10-questions-if-a-condidate-answered-it-randomly-find-the-probability-that-he-gets-i-no-question-right-ii-

Question Number 47837 by Aknabob1 last updated on 15/Nov/18 $${there}\:{are}\:\mathrm{5}\:{possible}\:{answers}\:{for}\:{each}\:{question}\:{of}\:{a}\: \\ $$$${multiple}\:{choice}\:{exam}\:{containing}\:\mathrm{10}\:{questions}.\: \\ $$$${if}\:{a}\:{condidate}\:{answered}\:{it}\:{randomly}.\: \\ $$$${find}\:{the}\:{probability}\:{that}\:{he}\:{gets}\:\left({i}\right)\:{no}\:{question}\:{right} \\ $$$$\:\left({ii}\right)\:\mathrm{3}\:{questions}\:{right}\:\left({iii}\right)\:\mathrm{5}\:{questions}\:{right}\: \\ $$$$\:\left({iv}\right)\:{at}\:{least}\:{one}\:{question}\:{right}\: \\ $$$$ \\ $$$$ \\…

Question-178626

Question Number 178626 by mr W last updated on 19/Oct/22 Commented by Frix last updated on 20/Oct/22 $$\mathrm{am}\:\mathrm{I}\:\mathrm{right}\:\mathrm{with}\:\mathrm{this}\:\mathrm{conception}? \\ $$$$\mathrm{put}\:\mathrm{1}\:\mathrm{student}\:\mathrm{of}\:\mathrm{each}\:\mathrm{college}\:\mathrm{at}\:\mathrm{a}\:\mathrm{board}\:\mathrm{and} \\ $$$$\mathrm{then}\:“\mathrm{draw}''\:\mathrm{the}\:\mathrm{others}\:\mathrm{which}\:\mathrm{is}\:\mathrm{the}\:\mathrm{same} \\ $$$$\mathrm{as}\:\mathrm{try}\:\mathrm{each}\:\mathrm{possible}\:\mathrm{combination}\:\mathrm{of}\:\mathrm{the}\:\mathrm{10} \\…

I-have-two-children-One-is-a-boy-born-on-a-Tuesday-What-is-the-probbility-I-have-two-boys-

Question Number 178488 by cortano1 last updated on 17/Oct/22 $$ \\ $$$$\mathrm{I}\:\mathrm{have}\:\mathrm{two}\:\mathrm{children}.\:\mathrm{One}\:\mathrm{is}\:\mathrm{a}\:\mathrm{boy} \\ $$$$\mathrm{born}\:\mathrm{on}\:\mathrm{a}\:\mathrm{Tuesday}.\:\mathrm{What}\:\mathrm{is}\:\mathrm{the}\: \\ $$$$\mathrm{probbility}\:\mathrm{I}\:\mathrm{have}\:\mathrm{two}\:\mathrm{boys} \\ $$ Answered by Acem last updated on 17/Oct/22…

Question-112502

Question Number 112502 by bemath last updated on 08/Sep/20 Answered by floor(10²Eta[1]) last updated on 08/Sep/20 $$\mathrm{N}=\mathrm{10a}+\mathrm{b} \\ $$$$\mid\mathrm{a}^{\mathrm{2}} −\mathrm{b}^{\mathrm{2}} \mid=\mathrm{p} \\ $$$$\mathrm{suppose}\:\mathrm{WLOG}\:\mathrm{that}\:\mathrm{a}>\mathrm{b} \\ $$$$\left(\mathrm{a}−\mathrm{b}\right)\left(\mathrm{a}+\mathrm{b}\right)=\mathrm{p}…