Question 1142909
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            The solution by @srimankumar45 is partly incorrect and partly unreadable.


            I came to bring a correct solution.


            I will solve the problem in two steps.


            Trace attentively my steps to see the difference with the other tutor' solution.



<pre>
(a)  The first step is to find  p(P & S).   ( which is the same as  p(P intersection S) )


         p(P | S) = p(P & S)/p(S)     (by the definition of the conditional probability)


     It gives


         0.70 = p(P & S) /0.51,  

         p(P & S) = 0.70*0.51.




(b)  The second step is to get the answer to the problem' question.


         p(S | P) = p(S & P)/p(P)     (by the definition of the conditional probability)


     Notice that p(S & P) = p(P & S) = 0.70*0.51,  as we found it in (a).


     Therefore,  

         p(S | P) = {{{(0.70*0.51)/0.55}}} = 0.649   (approximately)   <U>ANSWER</U>
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