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Question

The chance of an event happening is the square of the chance of a second event but the odds against the first are the cube of the odds against the second. The chances of the event are
      

  1.  


Solution

The correct option is D
Let p1 and p2 be the chances of happening of the first and second events, respectively, then according to the given conditions, we have
p1=P22 and 1p1p1=(1p2p2)3or 1p22p22=(1p2p2)3or p2(1+p2)=(1p2)2or p2=13and sop1=19
 

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