BMAT 2016 · Question 16 · Logic
SaveFive friends are sitting at a round table playing the ‘LRC’ dice game. There are five dice. Each face of each die has one letter, ‘L’, ‘R’ or ‘C’, written on it. Going clockwise around the table the friends are seated in the following order: Alun, Carmen, Ian, Prem and Ruthie. Each friend has five coins for the game. Each player in turn rolls the five dice and distributes their coins according to the letters on the top of the rolled dice: an ‘L’ on a die requires passing one coin to the player on their left, an ‘R’ on a die requires passing one coin to the player on their right, and a ‘C’ on a die requires putting one coin in the centre of the table. The table below shows the outcome of the dice rolling of the five players:

At the end of the round, which player ends up with the fewest coins?