A) \[\frac{1}{19}\]
B) \[\frac{2}{19}\]
C) \[\frac{3}{19}\]
D) None of these
Correct Answer: B
Solution :
Event \[(Y=0)\] is \[\{00,\,\,01,\,\,09,\,\,10,\,\,20,\,\,..........90\}\] Also \[(X=9)\cap (Y=0)=09,\,\,90,\] we have \[P(Y=0)=\frac{19}{100}\] and \[P(X=9)\cap (Y=0)=\frac{2}{100}\] Hence required probability \[=P\left\{ (X=9)/(Y=0) \right\}=\frac{\left\{ P(X=9)\cap (Y=0) \right\}}{P(Y=0)}=\frac{2}{19}\].
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