MathDB

Jenn randomly chooses a number

J

from

1, 2, 3,\ldots, 19, 20

. Bela then randomly chooses a number

B

from

1, 2, 3,\ldots, 19, 20

distinct from

J

. The value of

B - J

is at least

2

with a probability that can be expressed in the form

\frac{m}{n}

where

m

and

n

are relatively prime positive integers. Find

m+n

Problem Statement