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