Rather than expressing probabilities in reduced fraction form, it would make the argument easier to follow if groups of probabilities were expressed with common denominators.
So instead of
X:1/15, Y:1/30, A:3/5, B: 3⁄10
say
X:2/30, Y:1/30, A:18/30, B: 9⁄30
This makes it easy to compare the probablities using ratios of the numerators, with the denominators just there for normalization.
Presentation issue:
Rather than expressing probabilities in reduced fraction form, it would make the argument easier to follow if groups of probabilities were expressed with common denominators.
So instead of
say
This makes it easy to compare the probablities using ratios of the numerators, with the denominators just there for normalization.
Adjusted the presentation, thanks.