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Question Number 167730 by Tawa11 last updated on 23/Mar/22 Commented by Tawa11 last updated on 24/Mar/22 $$\mathrm{Engineering}\:\mathrm{course}\:\mathrm{sir}.\:\mathrm{Computer}. \\ $$ Commented by ajfour last updated on…

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Question Number 36626 by tanmay.chaudhury50@gmail.com last updated on 03/Jun/18 Commented by tanmay.chaudhury50@gmail.com last updated on 03/Jun/18 $${the}\:{vincci}\:{code}\:{is}\:{about}\:{golden}\:{ratio}..{see}\:{vdo} \\ $$$${in}\:{youtube}\:{to}\:{see}\:{the}\:{magic}.. \\ $$ Terms of Service Privacy…

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Question Number 102142 by Ar Brandon last updated on 06/Jul/20 $$\mathrm{A}\:\mathrm{four}-\mathrm{sidex}\:\mathrm{dice}\:\mathrm{with}\:\mathrm{numbered}\:\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:\mathrm{and}\:\mathrm{4}\:\mathrm{is}\:\mathrm{thrown} \\ $$$$\mathrm{and}\:\mathrm{the}\:\mathrm{number}\:\mathrm{at}\:\mathrm{the}\:\mathrm{base}\:\mathrm{is}\:\mathrm{read}. \\ $$$$\mathrm{The}\:\mathrm{dice}\:\mathrm{is}\:\mathrm{biased}\:\mathrm{such}\:\mathrm{that}\:\mathrm{the}\:\mathrm{probabilies}\:\mathrm{P}_{\mathrm{1}} ,\:\mathrm{P}_{\mathrm{2}} ,\:\mathrm{P}_{\mathrm{3}} , \\ $$$$\mathrm{and}\:\mathrm{P}_{\mathrm{4}} \:\mathrm{to}\:\mathrm{obtain}\:\mathrm{1},\:\mathrm{2},\:\mathrm{3},\:\mathrm{and}\:\mathrm{4}\:\mathrm{respectively}\:\mathrm{are}\:\mathrm{in}\:\mathrm{an} \\ $$$$\mathrm{arithmetic}\:\mathrm{progression}. \\ $$$$\mathrm{1}\backslash\:\mathrm{Given}\:\mathrm{P}_{\mathrm{4}}…