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a box contains 18 balls out of which x balls are red (1) if one ball is drawn at random from the bag , what is the probability that it is red .  (2) if 2 more red balls are put in the bag , the probability of drawing a red ball will be 9/8 times the probability of red ball in (1) . find x 
Asked by Sanchit Sharma | 13 Mar, 2015, 06:40: PM
answered-by-expert Expert Answer

begin mathsize 18px style T o t a l space n u m b e r space o f space b a l l s space equals space 18 N u m b e r space o f space r e d space b a l l s space equals space x left parenthesis 1 right parenthesis space P left parenthesis R e d space b a l l right parenthesis equals x over 18 left parenthesis 2 right parenthesis space 2 space m o r e space r e d space b a l l s space a r e space p u t space i n space t h e space b a g. N o w comma space t o t a l space n u m b e r space o f space b a l l s space equals 18 plus 2 equals 20 N u m b e r space o f space r e d space b a l l s equals x plus 2 N o w comma P left parenthesis R e d space b a l l right parenthesis equals fraction numerator x plus 2 over denominator 20 end fraction A c c o r d i n g space t o space q u e s t i o n comma fraction numerator x plus 2 over denominator 20 end fraction equals 9 over 8 cross times x over 18 fraction numerator x plus 2 over denominator 20 end fraction equals x over 16 16 x plus 32 equals 20 x 4 x equals 32 x equals 8 end style

Answered by | 13 Mar, 2015, 06:47: PM

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