# What is the probability that if you threw 20 darts, that 8 of them would hit the same area?

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Assume you hit the dart board every time, and that you had equal chance of hitting the different numbers on the board (e.g 1/5 chance?)

Assume you hit the dart board every time, and that you had equal chance of hitting the different numbers on the board (e.g 1/5 chance?)

##### 1 Answer

The probability is approximately

#### Explanation:

If we have an equal chance of hitting all the numbers on the board, and we are guaranteed that we hit the board, then each number has a 1 in 20 chance of being hit.

Let

Therefore, the probability that 8 darts hit

To find the probability that 8 darts hit the same number, for all numbers