Question Number 10117 by Gaurav3651 last updated on 25/Jan/17
$${A}\:{point}\:{is}\:{chosen}\:{at}\:{random}\:{inside} \\ $$$${a}\:{rectangle}\:{measuring}\:\mathrm{5}\:{inches} \\ $$$${by}\:\mathrm{6}\:{inches}.{What}\:{is}\:{the}\:{probability} \\ $$$${that}\:{the}\:{randomly}\:{selected}\:{point} \\ $$$${is}\:{at}\:{least}\:\mathrm{1}\:{inch}\:{from}\:{the}\:{edge}\:{of} \\ $$$${rectangle}? \\ $$
Commented by prakash jain last updated on 25/Jan/17
$$\mathrm{Favorable}\:\mathrm{case}\:\mathrm{is}\:\mathrm{when}\:\mathrm{the}\:\mathrm{point} \\ $$$$\mathrm{lies}\:\mathrm{inside}\:\mathrm{inner}\:\mathrm{rectangle}\:\mathrm{of}\:\mathrm{3}×\mathrm{4}. \\ $$$$\mathrm{Total}\:\mathrm{cases}:\:\mathrm{any}\:\mathrm{point}\:\mathrm{in}\:\mathrm{5}×\mathrm{6}\:\mathrm{rectangle}. \\ $$