Question

In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English news papers. A student is selected at random.

If she reads English news paper, find the probability that she reads Hindi news paper.

Answer 1

Let H = the event of reading a Hindi newspaper,

E = event of reading an English newspaper

Then P(H)  = `60/100 = 3/5`, P(E) = `40/100 = 2/5`

and P(H ∩ E) = `20/100 = 1/5`

Process of desired event = P(H|E) = `(P(E ∩ H))/(P(E))`

= `(1/5)/(2/5)`

= `1/2`