A-point-is-chosen-at-random-inside-a-rectangle-measuring-5-inches-by-6-inches-What-is-the-probability-that-the-randomly-selected-point-is-at-least-1-inch-from-the-edge-of-rectangle-

Question Number 10117 by Gaurav3651 last updated on 25/Jan/17

A p o i n t i s c h o s e n a t r a n d o m i n s i d e

a r e c t a n g l e m e a s u r i n g 5 i n c h e s

b y 6 i n c h e s . W h a t i s t h e p r o b a b i l i t y

t h a t t h e r a n d o m l y s e l e c t e d p o i n t

i s a t l e a s t 1 i n c h f r o m t h e e d g e o f

r e c t a n g l e ?

Commented by prakash jain last updated on 25/Jan/17

Favorable case is when the point

lies inside inner rectangle of 3 \times 4 .

Total cases : any point in 5 \times 6 rectangle .