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It has to do with "reaction time".
The rules committee had to come up with a time, and .3 seems to be what they decided was a fair time to have so that the timer could not give an unfair advantage to the shooter after a FT or Throw in.
If the clock is already running...the timer has no input as to weather the try can be made with .3 seconds or less.
Count the goal!
RD
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