The digits $1,2,3,4,5,6$ are arranged to form a 6-digit number. The probability that the number formed is divisible by 4 can be expressed as $\frac{a}{b}$ where $a$ and $b$ are coprime positive integers. What is the value of $a + b$?

**Details and assumptions**

Each digit is only used once in forming the 6-digit number.

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