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Question

A natural number x is chosen at random from the first 100 natural numbers. Then the probability that, x+100x>50 is:

A
120
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B
1120
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C
13
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D
None
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Solution

The correct option is B 1120
x+100x>50x250x+100>0,1x100,xZ.
1x<25521 or 25+521<x100
x=1,2,48,49,......,100.
Total number of ways = 100,
and favourable ways = 55..
Required probability =55100=1120

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