MathDB

Andover has a special weather forecast this week. On Monday, there is a

\frac{1}{2}

chance of rain. On Tuesday, there is a

\frac{1}{3}

chance of rain. This pattern continues all the way to Sunday, when there is a

\frac{1}{8}

chance of rain. The probability that it doesn't rain in Andover all week can be expressed as

\frac{m}{n}

for relatively prime positive integers

m

and

n

. Compute

m+n

.
Proposed by Nathan Xiong

Problem Statement