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Robocaller's method is a good way to calculate specifically the odds of all 3 being against the Reds. Calculating the odds of 3 cycles all against the same team is way trickier because of him switching teams and the unbalanced schedule. A close approximation is (1/29) *(1/29) or 1/841.  So I guess the hard part is hitting the 3 cycles to begin with.

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