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CBSE Class 9 Answered

At a fate,cards bearing numbers 1 to 1000,one number on one card ,one put in a box .Each player selects one card at random and that card is not replaced .If the selected card has a perfect square greater than 500.The player wins a prize.What is the probability that a second player wins a prize,if the first player has won?
Asked by M.s.srinidhi21 | 30 Dec, 2014, 11:54: AM
answered-by-expert Expert Answer
T o t a l space n u m b e r s space i n space t h e space s a m p l e space s p a c e equals 1000 C o n s i d e r space t h e space p e r f e c t space s q u a r e space n u m b e r s space b e t w e e n space 500 space a n d space 1000. T h u s comma space t h e space o u t c o m e s space o f space t h e space f a v o u r a b l e space e v e n t s equals open curly brackets 23 squared comma space 24 squared comma space 25 squared comma 26 squared comma 27 squared comma 28 squared comma 29 squared comma 30 squared comma 31 squared close curly brackets left parenthesis i right parenthesis space T h u s space t h e space p r o b a b i l i t y space t h a t space a space f i r s t space p l a y e r space w i n s equals fraction numerator N o. space o f space f a v o u r a b l e space o u t c o m e s over denominator T o t a l space n u m b e r space o f space o u t c o m e s end fraction equals 9 over 1000 left parenthesis i i right parenthesis space T h e space c a r d space i s space n o t space r e p l a c e d. space T h u s space t h e space t o t a l space n u m b e r space o f space o u t c o m e s space equals 999 G i v e n space t h a t space f i r s t space p l a y e r space h a s space w o n. space S o comma space t h e space n u m b e r space o f space f a v o u r a b l e space o u t c o m e s equals 8 T h u s comma space t h e space p r o b a b i l i t y space o f space t h e space s e c o n d space p l a y e r space w i n s equals fraction numerator N o. space o f space f a v o u r a b l e space o u t c o m e s over denominator T o t a l space n u m b e r space o f space o u t c o m e s end fraction equals 8 over 999
Answered by Vimala Ramamurthy | 31 Dec, 2014, 09:20: AM

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