# Find the probability that a point chosen at random in the figure lies in the shaded region. http://www.flickr.com/photos/93084714@N07/8619998387/in/photostream

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pramodpandey | Student

Total area= pi.r^2
Area of shade region= pi.r^2- pi. (r/2)^2
=(3.pi)(r^2)/4
Area of favourable for the event E= (3/4)pi.r^2
Area of non favourable event =(1/4) pi.r^2
P(E)= favourable area/ total area
= {(3/4)pi.r^2}/{pi.r^2}
= (3/4)