Consider the following statements relating to the level of poker play of four players $P, Q, R$ and $S$.
- $P$ always beats $Q$
- $R$ always beats $S$
- $S$ loses to $P$ only sometimes
- $R$ always loses to $Q$
Which of the following can be logically inferred from the above statements?
- $P$ is likely to beat all the three other players
- $S$ is the absolute worst player in the set
- (i) only
- (ii) only
- (i) and (ii)
- neither (i) nor (ii)
