One ticket is selected at random from 100 tickets numbered 00, 01, 02, ...... 98, 99. If X and Y denote the sum and the product of the digits on the tickets, then P(X=9/Y=0) equals
Event (Y=0) is {00, 01, 09, 10, 20, ........ 90}
Also (X=9) ∩ (Y=0) = 09, 90, we have
P(Y=0)=90100 and P(X=9)∩(Y=0)=2100
Hence required probability
=P(X=9)(Y=0) = P(X=9)∩(Y=0)P(Y=0)=219