MathDB

Zack keeps cutting the interval

[0, 1]

of the number line, each time cutting at a uniformly random point in the interval, until the interval is cut into pieces, none of which have length greater than

\frac35

. The expected number of cuts that Zack makes can be written as

\frac{p}{q}

for

p

and

q

relatively prime positive integers. Find

p + q

Problem Statement