# Gambler's Luck

**Discrete Mathematics**Level 5

The \(2\) coins are otherwise identical.

The gambler is allowed \(\text{only } 2\) tosses to determine which coin is unfair.

The gambler is allowed to choose \(\text{either of the coins }\)for the first toss. Subsequently, he is again allowed to choose \(\text{either of the coins }\)for the second toss.

\(a\) and \(b\) are co-prime.

This is part of Ordered Disorder.\[\] Please do see Gambler's Luck Version 2.\[\] The problem was inspired by Matt Enlow.