Q. 16.       In a hostel, 60^{o}/_{o} of the students read Hindi newspaper, 40^{o}/_{o}  read English newspaper and 20^{o}/_{o} read both Hindi and English newspapers. A student is selected at random.

                (c) If she reads English newspaper, find the probability that she reads Hindi newspaper.

Answers (1)
S seema garhwal

H : 60\; ^{o}/_{o}  of the students read Hindi newspaper,

E : 40\; ^{o}/_{o} read English newspaper       and  

 H \cap E :  20\; ^{o}/_{o} read both Hindi and English newspapers.

P(H)=\frac{60}{100}=\frac{6}{10}=\frac{3}{5}

P(E)=\frac{40}{100}=\frac{4}{10}=\frac{2}{5}

P(H\cap E)=\frac{20}{100}=\frac{2}{10}=\frac{1}{5}

 the probability that she reads Hindi newspaper if she reads English newspaper = P(H |E)

                                                                                                             P(H |E)=\frac{P(H\cap E)}{P(E)}

                                                                                                                 P(H |E)=\frac{\frac{1}{5}}{\frac{2}{5}}

                                                                                                           P(H |E)=\frac{1}{2}

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