<prompt> Sehemu iliyo na viwianishi x, y imechaguliwa bila mpangilio kiasi kwamba 0leq x leq10 na 0leqy leq10. Je, kuna uwezekano gani kwamba viwianishi vya uhakika vitatosheleza 2x5y geq 20? Eleza jibu lako kama sehemu ya kawaida.asyukubwa 5cm,5cm;chora-2,0--12,0,Mishale;chora0,-2--0,12,Mishale;jozi a,b,x;x0,0;a10,0;b0,10;ongezavijitix--a,2,0.1,0,25;ongezavijitix--a,2,0.2,0,25;ongezavijitix--a,2,0.3,0,25;ongezavijitix--a,2,0.4,0,25;ongezavijitix--a,2,0.5,0,25;ongezavijitix--a,2,0.6,0,25;ongezavijitix--a,2,0.7,0,25;ongezavijitix--a,2,0.8,0,25;ongezavijitix--a,2,0.9,0,25;ongezavijitix--a,2,1,0,25;ongezavijitix--b,2,0.1,0,25;ongezavijitix--b,2,0.2,0,25;ongezavijitix--b,2,0.3,0,25;ongezavijitix--b,2,0.4,0,25;ongezavijitix--b,2,0.5,0,25;ongezavijitix--b,2,0.6,0,25;ongezavijitix--b,2,0.7,0,25;ongezavijitix--b,2,0.8,0,25;ongezavijitix--b,2,0.9,0,25;ongezavijitix--b,2,1,0,25;asy  <response>: asyLebo f;f.pfontsize6;xaxis0,12, Kupef,2.0;yaxis0,12, Ticksf,2.0;kujaza0,4--0,10--10,10--10,0--mzunguko, kijivu;defaultpenlinewidth.8;chora0,0--0,10--10,10--10,0--mzunguko, machungwa;asyPointi inaweza kuchaguliwa bila mpangilio mahali popote ndani ya mraba wa chungwa, ambao una eneo 10cdot10100. Hoja inatosheleza usawa uliopewa ikiwa iko ndani ya eneo lenye kivuli upande wa mlalo wa eneo lenye kivuli ni sehemu ya mstari 2x5y20. Tutapata eneo lake kwa kuondoa eneo la eneo lisilo na kivuli kutoka eneo la mraba. Eneo lisilo na kivuli ni pembetatu yenye msingi wa urefu wa 10 na urefu wa 4, kwa hivyo eneo lake ni frac10cdot4220. Eneo la eneo lenye kivuli basi ni 100-2080. Kwa hivyo uwezekano kwamba uhakika unaangukia ndani ya eneo lenye kivuli ni 80100frac45. 