Gombóc Artúr lives at 1 Édes Street, while the chocolate shop is at the other end of the street, at number $n$. Every day, Artúr follows this fitness routine: he starts in front of the house numbered 2. If he stands in front of the house numbered $k$ (where $1<k<n$), he flips an expired but fair chocolate coin. If it lands heads, he moves to the house numbered ( $k-1$ ), and if it lands tails, he moves to the house numbered ( $k+1$ ). If he reaches the chocolate shop, he goes in and drinks a chocolate milkshake, then moves to the house numbered ( $n-1$ ). When he gets home, his workout is over. On average, how many chocolate milkshakes does Artúr drink each day?