Q. 225.0( 4 Votes )

In a certain college, 4% of boys and 1% of girls are taller than 1.75 metres. Further more, 60% of the students in the college are girls. A student is found to be taller than 1.75 metres. Find the probability that the selected students is girl.

Answer :

Let us assume U1, U2 and A be the events as follows:


U1 = choosing Boy


U2 = choosing Girl


A = choosing student who is taller than 1.75 metres.


From the problem




P(A|U1) = P(Choosing boy who is taller than 1.75 metres)



P(A|U2) = P(Choosing girl taller than 1.75 metres)



Now we find


P(U2|A) = P(The chosen student is a girl taller than 1.75 metres)


Using Baye’s theorem:







The required probability is .


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