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CBSE Class 9 Answered

TWO DICE ARE THOWN AT SAME AND THE PRODUCT OF NUJMBERS APPERING ON THEM IS NOTED .FIND THE PROBABILITY THAT THE PRODUCT IS LESS THAT 9.
Asked by M.s.srinidhi21 | 30 Dec, 2014, 12:02: PM
answered-by-expert Expert Answer
Two dice are thrown and hence the sample space is:
 
 S={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),
      (2,1), (2,2), (2,3), (2,4), (2,5), (2,6),
      (3,1), (3,2), (3,3), (3,4), (3,5), (3,6),
      (4,1), (4,2), (4,3), (4,4), (4,5), (4,6),
      (5,1), (5,2), (5,3), (5,4), (5,5), (5,6),
      (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}
 
total no. in the sample space = 36
 
We need to find the probability of numbers such that the product of the above pair should be less tahn 9.
 
Pairs with product less than 9
   ={(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),
      (2,1), (2,2), (2,3), (2,4), 
      (3,1), (3,2), (3,3), 
      (4,1), (4,2), 
      (5,1), 
      (6,1)}
 
No. of favrouable events = 17
R e q u i r e d space p r o b a b i l i t y equals fraction numerator N o. space o f space f a v o u r a b l e space e v e n t s over denominator T o t a l space n u m b e r space i n space t h e space s a m p l e space s p a c e end fraction equals 17 over 36
Answered by Vimala Ramamurthy | 31 Dec, 2014, 09:08: AM

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