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Let's consider: p = 4/7,
this tell us there are 4 successes out of 7 trials (AND 3 failures out of 7 trials)
ODDs in favor (of success) are 4:3
p = 1/2,
this tell us there are 1 success out of 2 trials (AND 1 failure out of 2 trials)
ODDs in favor(of success) are 1:1