Problem #WSP-000429

Problems Mathematical logic

Problem

Three witches (Rosalind, Sabrina and Theresa) are having a duel between themselves. Rosalind is the most accurate, hitting her target 100% of the time. Sabrina is moderately accurate, hitting her target 23 of the time. Theresa still needs to practise, so only hits her target 13 of the time.

The witches take it in turns to fire shots. Once a witch has been shot, she can no longer fire shots. To make it fair given their respective accuracies, they agree that the order will be Theresa, Sabrina and Rosalind, and then repeat in that order until the end.

Why is Theresa’s best strategy to fire her first shot away from both of her opponents?