My statement is statistically correct.
No, it absolutely is not. Even though you’re probably going to give me -karma again for pointing out your error, I will anyway.
The odds of getting two hits with two dice when your target number is 4 or less is .67 * .67 which is approximately 45%
No argument, this is obv true.
What your link refers too is a gambler saying that BECAUSE he missed in round 1, he WILL hit in round 2.
Right. And this is what you said:
Odds are, if you missed in R1, you’ll get two hits in R2
So how does the link not apply? You’re suggesting that if you get “bad” luck in R1 (no hits), you will have “good” luck in R2 (2 hits) to balance things out. This is the gambler’s fallacy: odds don’t “even out” on future rounds because you got a bad result. Probabilities don’t work that way, because the dice have no memory of what happened. The odds of hitting with both fighters in R2 is exactly the same as they were in R1.
What I am saying is that the odds of getting two hits in a row is 45%
OK, but that doesn’t matter. The first hit already happened. Its in the past, so it’s not a probability event anymore, it either happened or it didn’t. Given that the BB hit in R1, the odds of it hitting again at the start of R2 are 67% (just like they were at the start of R1), not 45%.
Statistics are statistics.
Yes, yes they are. But we’re discussing probability here, not statistics.