Probability of Throwing Darts

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Peter throws two darts at a dartboard, aiming for the center. The second dart lands farther from the center than the first dart. If Peter now throws another dart at the board, aiming for the center, what is the probability that this third throw is also worse (i.e., farther from the center) than his first?

Assume Peter`s skillfulness is constant.

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Since the three darts are thrown independently, they each have a 1/3 chance of being the best throw. As long as the third dart is not the best throw, it will be worse than the first dart.

Therefore the answer is 2/3.

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