# Probability with 5 and 7

**Number Theory**Level 4

Find the probability of \(f(m,n)=7^ m+7^ n\) to be divisible by 5, where \((m,n)\) are natural numbers between 1 to 100 (inclusive).

Find the probability of \(f(m,n)=7^ m+7^ n\) to be divisible by 5, where \((m,n)\) are natural numbers between 1 to 100 (inclusive).

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