6-digit Arrangements

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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