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Category: Probability and Statistics

4-bad-apples-are-mixed-accidentally-with-20-good-apples-Obtain-the-probability-distribution-of-the-numbers-of-bad-apples-in-a-draw-of-2-apples-at-random-

Question Number 147906 by Odhiambojr last updated on 24/Jul/21 $$\mathrm{4}\:{bad}\:{apples}\:{are}\:{mixed}\:{accidentally} \\ $$$${with}\:\mathrm{20}\:{good}\:{apples}.\:{Obtain}\:{the} \\ $$$$\:{probability}\:{distribution}\:{of}\:{the}\: \\ $$$${numbers}\:{of}\:{bad}\:{apples}\:{in}\:{a}\:{draw}\:{of}\: \\ $$$$\mathrm{2}\:{apples}\:{at}\:{random} \\ $$ Answered by Olaf_Thorendsen last updated…

a-word-is-formed-with-3-vowels-and-3-consonants-without-repetition-the-probability-the-formation-of-words-begining-the-letter-z-is-

Question Number 82111 by john santu last updated on 18/Feb/20 $${a}\:{word}\:{is}\:{formed}\:{with}\:\mathrm{3}\:{vowels} \\ $$$${and}\:\mathrm{3}\:{consonants}\:{without}\: \\ $$$${repetition}\:.\:{the}\:{probability}\:{the} \\ $$$${formation}\:{of}\:{words}\:{begining}\:{the} \\ $$$${letter}\:{z}\:{is}? \\ $$ Commented by john santu…

An-experiment-consist-of-flipping-a-coin-and-then-flipping-it-a-second-time-if-a-head-occurs-If-a-tail-appears-on-thei-first-flip-then-a-die-is-tossed-once-a-Listthe-element-of-the-sample-space-S

Question Number 147413 by pete last updated on 20/Jul/21 $$ \\ $$$$\mathrm{An}\:\mathrm{experiment}\:\mathrm{consist}\:\mathrm{of}\:\mathrm{flipping}\:\mathrm{a} \\ $$$$\mathrm{coin}\:\mathrm{and}\:\mathrm{then}\:\mathrm{flipping}\:\mathrm{it}\:\mathrm{a}\:\mathrm{second}\:\mathrm{time}\: \\ $$$$\mathrm{if}\:\mathrm{a}\:\mathrm{head}\:\mathrm{occurs}.\mathrm{If}\:\mathrm{a}\:\mathrm{tail}\:\mathrm{appears}\:\mathrm{on}\:\mathrm{thei} \\ $$$$\mathrm{first}\:\mathrm{flip}\:\mathrm{then}\:\mathrm{a}\:\mathrm{die}\:\mathrm{is}\:\mathrm{tossed}\:\mathrm{once}.\: \\ $$$$\mathrm{a}.\:\mathrm{Listthe}\:\mathrm{element}\:\mathrm{of}\:\mathrm{the}\:\mathrm{sample}\:\mathrm{space}\:\mathrm{S}.\mathrm{b} \\ $$$$\mathrm{b}.\:\mathrm{List}\:\mathrm{the}\:\mathrm{element}\:\mathrm{of}\:\mathrm{S}\:\mathrm{corresponding} \\ $$$$\mathrm{to}\:\mathrm{the}\:\mathrm{event}\:\mathrm{A}\:\mathrm{that}\:\mathrm{a}\:\mathrm{number}\:\mathrm{less}\:\mathrm{than}\: \\…

Question-147158

Question Number 147158 by puissant last updated on 18/Jul/21 Answered by Olaf_Thorendsen last updated on 18/Jul/21 $$\left.\mathrm{A}\right) \\ $$$$\mathrm{I}. \\ $$$$\mathrm{1}.\:\mathrm{Quel}\:\mathrm{est}\:\mathrm{le}\:\mathrm{nombre}\:\mathrm{de}\:\mathrm{tirages} \\ $$$$\mathrm{possibles}\:? \\ $$$$\mathrm{Dans}\:\mathrm{chaque}\:\mathrm{triplet},\:\mathrm{le}\:\mathrm{chiffre}\:\mathrm{de}…

Question-146910

Question Number 146910 by puissant last updated on 16/Jul/21 Answered by Olaf_Thorendsen last updated on 16/Jul/21 $$\mathrm{Soit}\:\mathrm{V}\:\mathrm{l}'\mathrm{evenement}\:“\mathrm{etre}\:\mathrm{vaccine}'' \\ $$$$\mathrm{et}\:\mathrm{M}\:\mathrm{celui}\:“\mathrm{etre}\:\mathrm{malade}''.\:\mathrm{Les} \\ $$$$\mathrm{evenements}\:\mathrm{contraires}\:\mathrm{seront}\:\mathrm{notes}\:\mathrm{par} \\ $$$$\overset{−} {\mathrm{V}}\:\mathrm{et}\:\overset{−} {\mathrm{M}}.…

Question-146799

Question Number 146799 by puissant last updated on 15/Jul/21 Answered by Olaf_Thorendsen last updated on 15/Jul/21 $$\mathrm{Il}\:\mathrm{y}\:\mathrm{a}\:\mathrm{2}\:\mathrm{photocopieuses}\:\mathrm{couleur}\:\mathrm{sur}\:\mathrm{5}\:: \\ $$$${p}\:=\:\frac{\mathrm{2}}{\mathrm{5}} \\ $$$$\mathrm{Il}\:\mathrm{y}\:\mathrm{a}\:\mathrm{3}\:\mathrm{photocopieuses}\:\mathrm{N\&B}\:\mathrm{sur}\:\mathrm{5}\:: \\ $$$$\:{q}\:=\:\frac{\mathrm{3}}{\mathrm{5}}\:=\:\mathrm{1}−{p} \\ $$$$\mathrm{On}\:\mathrm{note}\:\mathrm{X}\:\mathrm{la}\:\mathrm{variable}\:\mathrm{aleatoire}\:\mathrm{qui}…