1989 AHSME Problems/Problem 20
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Problem
Let be a real number selected uniformly at random between 100 and 200. If , find the probability that . ( means the greatest integer less than or equal to .)
Solution
Since , and thus .
The successful region is when in which case Thus, the successful region is when
The successful region consists of a 2.41 long segment, while the total possibilities region is 25 wide. Thus, the probability is