having the last five budget proposals turned down affects the likelihood that the next budget proposal
Why this is right
This is stating the Gambler's Fallacy type of thinking. Suppose the only premise we had was "normally about half of all budget proposals are approved". How should we estimate the probability that this next budget proposal will be approved? We'd say, "Okay, all other things being equal, it's got around a 50% chance of being approved". We wouldn't say "it will probably be approved, because that would go against the idea that normally only about half of them are actually approved." The author adds in another premise, "Yes, but --- the previous five have been turned down, thus the next one probably will be approved." So the author is clearly thinking that this streak of rejections moves the probability from where it would be by default (around 50%) to the level of probably (greater than 50%). If we negate this answer it becomes an objection: "Yo, author -- whether the last five proposals were approved or rejected has no effect on the likelihood that the next one will be approved or rejected, therefore the probability is around 50%, not probable"
Skill tested: Flaw · how this choice captures the argument's function is the move to repeat next time.