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Question

One ticket is selected at random from 100 tickets numbered 00,01,02,,98,99. If x1 and x2 denotes the sum and product of the digits on the tickets, then P(x1=9/x2=0) is equal to

A
219
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B
19100
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C
150
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D
None of these
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Solution

The correct option is A 219
Let the number selected be xy. Then
x+y=9=x1,0x,y9 and
xy=0=x2x=0,y=9 or
y=0,x=9
P(x1=9/x2=0)=P(x1=9x2=0)P(x2=0)
Now,
P(x2=0)=19100 and
P(x1=9x2=0)=2100
P(x1=9/x2=0)=2/10019/100=219

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