For the PerplexusBowl match between the Pascal Probabilities and the Random Results, a bookie was offering the following payoffs:
PP to win in normal time, 3 to 2
RR to win in normal time, 2 to 1
PP to win in overtime, 7 to 1
RR to win in overtime, 9 to 1
(The first line means that if you bet $2 on PP to win in normal time, and it does, you get your money back plus $3.)
Without knowing anything about football or the involved teams or the actual probabilities, can you show why these payoffs are illogical?