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Snooker table (Posted on 2006-02-11) Difficulty: 3 of 5
You are given a 100*50 snooker table (felt area) and two balls of diameter 1. One ball is placed in the center of the table and the other ball is randomly positioned. What is the probability that I will be able to shoot this second ball directly into the top left pocket without touching the central ball? (Assume pocket has radius 1)

No Solution Yet Submitted by Andre    
Rating: 4.0000 (2 votes)

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re: Solution - correction | Comment 10 of 13 |
(In reply to Solution by Leming)

Additional thoughts:

The Total Area should be calculated as 99 * 49 since the center of the ball is 0.5 away from the edge of the felt.

Total Area = 99 * 49 = 4851

Probability that ball is in area it can be shot from = (4851 - (109.9 +.5pi)) / 4851

= 97.7%    (Compared to 97.8% from previous post)

  Posted by Leming on 2006-02-12 13:28:20
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