Problem #421

Expected Universe II
Public 07/31/17 6xp Probability 60.0%

Initially the Universe does not exist. However, each day either a matter or anti-matter emerges uniformly randomly. The Universe is born when matter count exceeds that of anti-matter for the first time. In this case, what is the probability that the Universe emerges within 365 days?

Give the result as an exact fraction in lowest terms.

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Time may end, but hope will last forever.

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