Hypothesis - One of 5 or 13 selected
Basic information
Balls drawn Richard's success
# 1 03 05 14 22 30 44 two matches, one off by one
# 2 06 12 15 16 31 44 one match
# 7 09 17 32 36 42 44 two matches, three off by four
Select three from 05 13 28 46 48
Near Misses
With one of 5 and 13 selected, the other two near misses
from lottery 7 must be selected from:
28 46 48
Lemma - 44 is selected
Analysis reveals this lemma is false.
Hence 44 is not selected
This gives the following requirements:
one from [5 13] (Main hypothesis)
two from [9 32 36 42] (lottery 7 matches)
two from [28 46 48] (lottery 7 near misses)
one from [6 12 15 16 31] (lottery 2)
Refutation
These possibilities give only one possible match (5) in lottery 1,
rather than the two necessary.
Hypothesis Fails!
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