### Brain Teasers

# Darts

Fun: (2.31)
Difficulty: (2.14)
Puzzle ID: #144

Submitted By: duckrocket Corrected By: sugarnspice4u7

Submitted By: duckrocket Corrected By: sugarnspice4u7

Probability
Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.

Peter throws two darts at a dartboard, aiming for the center. The second dart lands farther from the center than the first. 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.

### Hint

Suppose instead of dart tosses, they were coin flips. Does that help find the answer?### 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.Hide Hint Show Hint Hide Answer Show Answer

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