Kane plays 3 matches in a darts challenge

MATHEMATICS · Subjective · A Level · Mathematics · Probability · Probability

Problem

Kane plays 3 matches in a darts challenge, alternating between Penny and Quentin as his opponents. Kane must win 2 matches in a row to win the challenge. He is allowed to choose which opponent he plays first. He knows that Penny is the better darts player.Which strategy should Kane use to maximise his chances of winning the challenge? Justify your answer.

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