One ticket is selected at random from 100 tickets numbered 00,01,02,03 ... 99. Suppose x is the sum of digits and y is the product of the digits. then the probability that x=9 and y=0 is ... ?

N (s) = 100

Y = { 01, 02,03,04,05, 06,07, 08, 09, 10, 20,30, 40,50, 60,70,80, 90 }

so

n (y) = 18

P (y) = n (y) / n (S)

= 18 / 100

= 9 / 50

x = { 09, 18, 27, 36, 45, 54, 63, 72, 81, 90 }

n (x) = 10

P (x) = n (x) / n (s)

= 10 / 100

= 1 / 10

so probability of event x is 1/10 and event y is 9/50