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Category: Probability and Statistics

total-numper-of-words-formed-by-2-vowels-and-3-consonants-take-from-vowels-and-5-consonants-is-equal-to-pleas-sir-help-me-

Question Number 73745 by mhmd last updated on 15/Nov/19 $${total}\:{numper}\:{of}\:{words}\:{formed}\:{by}\:\mathrm{2}\:{vowels}\:{and}\:\mathrm{3}\:{consonants}\:{take}\:{from}\:{vowels}\:{and}\:\mathrm{5}\:{consonants}\:{is}\:{equal}\:{to}\:? \\ $$$${pleas}\:{sir}\:{help}\:{me}\:? \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

A-man-has-n-pair-of-black-shoes-and-m-pairs-of-brown-shoes-Man-hurriedly-wear-two-shoes-What-is-probability-that-both-of-them-are-black-

Question Number 139232 by Dwaipayan Shikari last updated on 24/Apr/21 $${A}\:{man}\:{has}\:'{n}'\:{pair}\:{of}\:{black}\:{shoes}\:{and}\:'{m}' \\ $$$${pairs}\:{of}\:{brown}\:{shoes}.\:{Man}\:{hurriedly}\:{wear} \\ $$$${two}\:{shoes}.\:{What}\:{is}\:{probability}\:{that}\:{both}\:{of} \\ $$$${them}\:{are}\:{black}? \\ $$ Commented by mr W last updated…

X-and-Y-stand-in-a-line-at-random-with-10-other-peoples-What-is-the-probability-that-there-will-be-exactly-4-persons-between-X-and-Y-

Question Number 138960 by Dwaipayan Shikari last updated on 20/Apr/21 $${X}\:{and}\:{Y}\:{stand}\:{in}\:{a}\:{line},\:{at}\:{random}\:{with}\:\mathrm{10}\:{other}\:{peoples}. \\ $$$${What}\:{is}\:{the}\:{probability}\:{that}\:{there}\:{will}\:{be}\:{exactly}\:\mathrm{4}\:{persons}\: \\ $$$${between}\:{X}\:{and}\:{Y}? \\ $$ Commented by mr W last updated on 20/Apr/21…

Make-arbitrary-movements-between-the-7-people-sitting-around-the-table-so-that-at-least-one-of-the-people-sitting-next-to-you-is-not-a-Mathematician-

Question Number 138763 by mathsuji last updated on 17/Apr/21 $${Make}\:{arbitrary}\:{movements}\:{between} \\ $$$${the}\:\mathrm{7}\:{people}\:{sitting}\:{around}\:{the}\:{table} \\ $$$${so}\:{that}\:{at}\:{least}\:{one}\:{of}\:{the}\:{people}\:{sitting} \\ $$$${next}\:{to}\:{you}\:{is}\:{not}\:{a}\:{Mathematician}.. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Let-E-be-a-banach-space-Y-is-normed-space-and-suppose-that-Ta-a-A-B-E-Y-If-Tax-a-A-Y-is-bounded-for-all-x-E-then-Ta-a-A-is-bounded-

Question Number 7499 by Tawakalitu. last updated on 31/Aug/16 $${Let}\:{E}\:{be}\:{a}\:{banach}\:{space}\:,\:{Y}\:{is}\:{normed}\:{space}\:{and}\: \\ $$$${suppose}\:{that}\:\left\{{Ta}\::\:{a}\in{A}\right\}\:\subseteq\:\:{B}\:\left({E},\:{Y}\right)\:{If}\:\left\{{Tax}\::\:{a}\in{A}\right\} \\ $$$$\subseteq\:{Y}\:{is}\:{bounded}\:,\:{for}\:{all}\:{x}\in{E},\:{then}\:\left\{\parallel{Ta}\parallel\::\:{a}\in{A}\right\}\:{is}\: \\ $$$${bounded}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com