Niklas and Rolf play tennis with the winner being the first to win two sets

MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability

Problem

Niklas and Rolf play tennis with the winner being the first to win two sets. Niklas has a 40% chance of beating Rolf in any set. (1) Draw a tree diagram showing the possible outcomes. (2) Hence determine the probability that Niklas will win the match.

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