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Category: Probability and Statistics

Two-similar-boxes-B-i-i-1-2-contain-i-1-red-and-5-i-1-black-balls-One-box-is-chosen-at-random-and-two-balls-are-drawn-randomly-what-is-the-probability-that-both-balls-are-of-different-colours-

Question Number 12306 by Gaurav3651 last updated on 18/Apr/17 TwosimilarboxesBi(i=1,2)contain(i+1)redand(5i1)blackballs.Oneboxischosenatrandomandtwoballsaredrawnrandomly.whatistheprobabilitythatbothballsareofdifferentcolours?(a)1/2$$\left({b}\right)\:\:\mathrm{3}/\mathrm{10}…

If-the-ratio-of-the-students-that-pass-a-test-to-those-that-fail-is-in-ratio-4-1-If-9-students-were-chosen-at-random-what-is-the-probability-that-exactly-7-passed-the-test-

Question Number 12156 by tawa last updated on 15/Apr/17 Iftheratioofthestudentsthatpassatesttothosethatfailisinratio4:1,If9studentswerechosenatrandom,whatistheprobabilitythatexactly7passedthetest. Answered by mrW1 last updated on 23/Apr/17 $${probability}\:{pass}\:{test}\:{p}=\frac{\mathrm{4}}{\mathrm{4}+\mathrm{1}}=\mathrm{0}.\mathrm{8} \

A-number-is-selected-at-random-from-the-integers-10-to-35-exclussive-such-that-the-chances-take-the-subsets-of-P-Q-and-R-respectively-where-P-is-even-Q-is-even-or-prime-number-and-R-is-odd-prime

Question Number 11599 by tawa last updated on 28/Mar/17 Anumberisselectedatrandomfromtheintegers10to35exclussive,suchthatthechancestakethesubsetsofP,QandRrespectively,wherePiseven,Qisevenorprimenumber,andRisoddprimenumbers.Whatistheprobability(a)Thatexaclyoneoftheeventsofthesubsetischoosen?(b)Ofchoosenatmosttwoofthesubsetoftheevent. Answered by mrW1…