Will someone hit this softball out of the park?

[feveredego]

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

 

[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!

 

[tacman]

It is difficult to accurately predict whether or not someone will hit this softball out of the park, as it depends on various factors such as the skill level of the player, the speed and trajectory of the pitch, and other external factors. However, based on the given statistics, the odds of something that statistically should happen 1 in 207 times happening 3 times in 66 occurrences is quite low. It would mean that the event is occurring at a rate much higher than expected, which could be due to a variety of reasons such as luck or exceptional skill. Ultimately, it is impossible to determine the exact odds without more information, but it is safe to say that it would be a rare occurrence.