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Question

A box contains cards numbered 6 to 50. A card is drawn at random from the box. The proabbility that the drawn card has a number which is a perfect square is
(a) 145   (b)  215    (c)  445  (d)  19
 


Solution

Total number of cards = 45
total possible outcomes = 45
the perfect square numbers between 6 and 50 are: 9, 16, 25, 36, 49

No. of cards bearing perfect square numbers = 5
no. of favorable outcomes = 5
required probability = no. of favorable outcomes/total possible outcomes =545=19

answer:- (d) 19

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