We have the information that the players are sitting in a circle and we have been given the order of the players in a clockwise direction. Let us draw the order then.

We can also draw a quick table to show which people are to the left and right of a certain person.

Left Right

Alun Carmen Ruthie

Carmen Ian Alun

Ian Prem Carmen

Prem Ruthie Ian

Ruthie Alun Prem

It is important to remember that each player starts off with 5 coins.

After Alun’s throw, Ruthie has 7 coins and Carmen has 7 coins

After Carmen’s throw, Alun has 1 coin and Ian has 7 coins. Carmen remains with 2 coins.

After Ian’s throw, Carmen has 4 coins and Prem has 6 coins. Ian himself has 2 coins.

After Prem’s throw, Ian has 3 coins and Ruthie has 9 coins. Prem remains with 1 coin.

After Ruthie’s throw, Prem has 3 coins and Alun has 2 coins.

At the end of the round, these are the results:

Alun – 2

Carmen – 4

Therefore, Alun remains with the least coins.