### What is the probability of winning two rounds in a row

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##### Reference no: EM13226761

In a game, half of the (large) pool of potential opponents are beginners, a third intermediates, and one sixth are masters. Your chances of beating them are 60% for beginners, 30% for intermediates, and 10% for masters. Opponents are randomly chosen from the pool in each round. What is your probability of winning two rounds in a row?

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