Only respect this way as well, UH!
I am not an engineer, and I haven't taken Statistics since 1999, so give me some leeway...
However, my understanding of the Addition Rule in Probability P(A) or P(B) = P(A) + P (B) is that it refers to one draw with outcomes (events) independent of each other. As in:
Bitterroot and UH have applied in a sheep unit with 1 tag where their individual probability of drawing is 2%. The probalility that either Bitterroot or UH draws is P(Bitterroot) + P(UH) which is (.02) + (.02) = (.04). So there is a 4% chance that either will draw.
Maybe that also applies to separate draws, but that is not my understanding.
If that was the way it worked, you could take a odd/even 50/50 bet and after losing twice, bet the house.