**ABCDEFG**is called a modified hill number if the digits

**B**,

**D**and

**F**satisfies:

**B**=

**A**+

**C**(mod 10) ,

**D**=

**C**+

**E**(mod 10) and

**F**=

**E**+

**G**(mod 10) (Each of the capital letters in bold denotes a digit from 0 to 9, whether same or different.)

Determine the probability that x is a modified hill number, given that x is a base ten positive integer chosen at random between 1000000 and 9999999 inclusively.