# Will someone hit this softball out of the park?

1. Jan 22, 2005

### feveredego

What are the odds of something that statistically should happen 1 in 207 times happening 3 times in 66 occurrences? Let me know.

2. Jan 22, 2005

### arildno

Short answer:
$$p=\binom{66}{3}(\frac{1}{207})^{3}(\frac{206}{207})^{63}\approx\frac{1}{263}$$
The probability for a single, specific arrangement is $$(\frac{1}{207})^{3}(\frac{206}{207})^{63}$$
the binomial coefficient tells us how many such arrangements exist (in your case, 45760 different arrangements of 3 "hits" and 63 "misses")
Welcome to PF!

Last edited: Jan 22, 2005
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