Football-math quiz: With four games remaining in the regular season, what is the probability the NE Patriots will win their division based on the following assumptions?
1. Every team has a 50% probability of winning each remaining game and there are no tie games.
2. If the division winner is decided by the strength of victory tiebreaker, the Patriots will win the division.
The answer must be exact, expressed as a fraction where the denominator is 256 (2^8).
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