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  • The chance of a student passing an exam is .The chance of student passing the exam and getting above <img alt="9

The chance of a student passing an exam is 20 \%.The chance of student passing the exam and getting above 90 \% marks in it is 5\% Given that a student passes the examination, the probability than the student gets above 90\% marks is

Option: 1

\frac{1}{18}


Option: 2

\frac{1}{4}


Option: 3

\frac{2}{9}


Option: 4

\frac{5}{18}


Answers (1)

best_answer

   Let   \mathrm{A=\{\text { Student passing the exam }\}}
           \mathrm{B=\{\text { Getting above } 90 \% \text { marks }\}}

It is a questions based on conditional prob where \mathrm{A} is treated as condition.

So, Req. Prob
\mathrm{=P\left(\frac{B}{A}\right)=\frac{P(B \cap A)}{P(A)}=\frac{0.05}{0.2}=\frac{1}{4}}

Posted by

Suraj Bhandari

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