Speculating a bit on the algorithm used, I suspect the tee time system starts by ordering all requests by average points, then goes down the list in order. It finds slots within the request for all those with zero points, then for all those with 0.2 points, then 0.4 points, and so on. Considering all those requests for twosomes, threesomes, and foursomes slotted in here and there per the requests ... by the time it gets down the long list to a request with average 2.5 points, how many slots will still be available with four consecutive tee times?
Pretty slim chance, I would say.
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