Friday 20 December 2013

Confusing Probability Puzzle

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#192

There are two juveniles in Mr.Sharma's family. At least one juvenile is a boy. What is the probability that both of the juveniles are boys?

Also, there are two juveniles in Mr.Verma's family. The older juvenile is a girl. What is the probability that both of the juveniles are girls? 

  Difficulty Level - 3/5

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  Solution : 

  1/3 and 1/2 >>>>>>
Since there
are two juveniles in Mr.Sharma's family, at least one of which is a boy, there are three equally probable cases: Boy-Boy, Boy-Girl or Girl-Boy. In only one case, both juveniles are boys, so the probability that both are boys is 1/3.
Mr.Verma's family situation is different. Knowing that the older juvenile is a girl, there are only two equally probable cases: 
Girl-Girl or Girl-Boy. Therefore the probability that both juveniles are girls is 1/2 . 

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