Category: Probability and Statistics

Question Number 136375 by nadovic last updated on 22/Mar/21 $$\mathrm{A}\mathrm{bowl}\mathrm{contains}\mathrm{carefully}\mathrm{shredded}$$$$\mathrm{confetti},6\mathrm{of}\mathrm{which}\mathrm{are}\mathrm{blue}\mathrm{and}\mathrm{the}$$$$\mathrm{remaining}12\mathrm{are}\mathrm{red}.$$$$\mathrm{Each}\mathrm{piece}\mathrm{of}\mathrm{confetti}\mathrm{is}\mathrm{either}\mathrm{circular}$$$$\mathrm{triangular}\mathrm{or}\mathrm{rectangular}\mathrm{in}\mathrm{shape}\mathrm{and}$$$$\mathrm{are}\mathrm{in}\mathrm{the}\mathrm{ratio}1:3:2\mathrm{for}\mathrm{each}\mathrm{colour}$$$$\mathrm{respectively}.\mathrm{If}\mathrm{they}\mathrm{are}\mathrm{thrown}\mathrm{up}$$$$\boldsymbol{\mathrm{thrice}}\:\mathrm{in}\:\mathrm{a}\:\mathrm{certain}\:\mathrm{competition}\:\mathrm{and}\:\mathrm{a} \…

Question Number 136109 by physicstutes last updated on 18/Mar/21 $$\mathrm{A}\mathrm{particle}\mathrm{moving}\mathrm{on}\mathrm{the}\mathrm{inside}\mathrm{surface}\mathrm{of}\mathrm{fixed}\mathrm{spherical}\mathrm{bolw}\mathrm{of}$$$$\mathrm{radius}2\mathrm{m}.\mathrm{It}\mathrm{describes}\mathrm{a}\mathrm{horizontal}\mathrm{circle}\mathrm{at}\mathrm{distance}\mathrm{of}\frac{6}{5}\mathrm{m}\mathrm{below}$$$$\mathrm{the}\mathrm{centre}\mathrm{of}\mathrm{the}\mathrm{bowl}.$$$$\left(\mathrm{a}\right)\mathrm{find}\mathrm{the}\mathrm{speed}\mathrm{of}\mathrm{the}\mathrm{particle}$$$$\left(\mathrm{b}\right))\mathrm{the}\mathrm{period}\mathrm{of}\mathrm{the}\mathrm{motion}$$ Answered by mr W last…

Question Number 135861 by liberty last updated on 16/Mar/21 $$Probability$$Digits from 1 to 9 are randomly placed to form a 9-digit number. What…

Question Number 135352 by EDWIN88 last updated on 12/Mar/21 $$\underset{―}{\mathrm{Probability}}$$$$\mathrm{Urn}\mathrm{I}\mathrm{contains}5\mathrm{red}\mathrm{and}3\mathrm{green}\mathrm{balls}.\mathrm{Urn}\mathrm{II}$$$$\mathrm{contains}2\mathrm{red}\mathrm{and}7\mathrm{green}\mathrm{balls}.\mathrm{One}\mathrm{balls}$$$$\mathrm{is}\mathrm{transferred}\left(\mathrm{at}\mathrm{random}\right)\mathrm{from}\mathrm{urn}\mathrm{I}\mathrm{to}\mathrm{urn}\mathrm{II}$$$$.\mathrm{After}\mathrm{stirring},1\mathrm{ball}\mathrm{is}\mathrm{chosen}\mathrm{from}\mathrm{urn}\mathrm{II}.$$$$\mathrm{What}\mathrm{is}\mathrm{probability}\mathrm{that}\mathrm{the}\left(\mathrm{final}\right)\mathrm{ball}\mathrm{is}$$$$\mathrm{green}?$$ Answered…

Question Number 135217 by benjo_mathlover last updated on 11/Mar/21 Commented by mr W last updated on 11/Mar/21 $$pleaseexplainwhatyoumeanwith$$$$“thereisexactlyonlyacirclethat$$$$has6{girls}^{″}!$$$${when}\:{a}\:{circle}\:{has}\:{exactly}\:\mathrm{6}\:{girls}, \…