MathDB

Let

J

E

R

, and

Y

be four positive integers chosen independently and uniformly at random from the set of factors of

1428

. What is the probability that

JERRY = 1428

? Express your answer in the form

\frac{a}{b\cdot 2^n}

where

n

is a nonnegative integer,

a

and

b

are odd, and gcd

(a,b) = 1

Problem Statement