Question
Mon March 19, 2012 By:

Find the probability that a randomly chosen positive divisor of 10^99 is divisible by 10^88 pla ans soon

Expert Reply
Tue March 20, 2012
Total number of positive divisors of 1099 can be found by writing it as 299 . 599 
So divisors = (99+1)(99+1) = 10000
Now we have (11+1)(11+1) = 144 divisors of 1099 that are divided by 1088 ,
So probability = 144/10000 = 9/625
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