I don't think he's as good as Kamara, and he's not as big. I think Kelly is somewhat overrated, but hope I'm wrong.
Maybe not the top end talent we had last year. But we have more depth. And you have to think we'll have less injuries. Last year's team performs a lot better if we dont lose 20+ starters to injuries.
If you can get past being triggered from reading a list of items that CBJ has yet to accomplish, then there's nearly an entire thread where you can learn about compound probability of independent events.
The things you listed are not independent events. They are actually quite dependent.
For example, the probability of winning the SEC east AND winning the SEC is not P(SECe) x P(SEC). That would be tiny. Let's say you think we have a 33% chance of winning the east this year and a 5% chance of winning the SEC. Using your characterization of these events as independent, we would have a .33 x .05 = 1.65% chance of winning the SEC.
However, it's absurd to say that winning the SEC east and winning the SEC are independent events. They are extremely dependent! If we win the east, our chances of winning the SEC are non-zero, and if we don't, our chances of winning the SEC are zero.
So the probability of winning the SEC east and the SEC is actually P(SECe) x P(SEC l SECe), i.e. the probability of winning the east times the probability of winning the SEC given we win the east. So if you think we have a 40% chance vs. the west champion should we get to Atlanta, our probability of winning both the SEC east and the SEC would be .33 x .40 = 13.2%.
That's a big difference. Similarly, by treating all the events you mentioned as independent, you severely underestimate our chances this year by discounting the fact that IF some of these events occur, the others are also more likely to occur (e.g. if we beat Bama, it is more than likely that this is simply a better team than anyone imagined, and we will also likely beat Muschamp, UF, etc.).
Disclaimer: I don't expect to be national title contenders this year. Go Vols!
The things you listed are not independent events. They are actually quite dependent.
For example, the probability of winning the SEC east AND winning the SEC is not P(SECe) x P(SEC). That would be tiny. Let's say you think we have a 33% chance of winning the east this year and a 5% chance of winning the SEC. Using your characterization of these events as independent, we would have a .33 x .05 = 1.65% chance of winning the SEC.
However, it's absurd to say that winning the SEC east and winning the SEC are independent events. They are extremely dependent! If we win the east, our chances of winning the SEC are non-zero, and if we don't, our chances of winning the SEC are zero.
So the probability of winning the SEC east and the SEC is actually P(SECe) x P(SEC l SECe), i.e. the probability of winning the east times the probability of winning the SEC given we win the east. So if you think we have a 40% chance vs. the west champion should we get to Atlanta, our probability of winning both the SEC east and the SEC would be .33 x .40 = 13.2%.
That's a big difference. Similarly, by treating all the events you mentioned as independent, you severely underestimate our chances this year by discounting the fact that IF some of these events occur, the others are also more likely to occur (e.g. if we beat Bama, it is more than likely that this is simply a better team than anyone imagined, and we will also likely beat Muschamp, UF, etc.).
Disclaimer: I don't expect to be national title contenders this year. Go Vols!
I'm sorry, but you have a poor understanding of dependent and independent events in terms of computing compound probability. Feel free to Google the concepts to enlighten yourself.
I'm sorry, but you have a poor understanding of dependent and independent events in terms of computing compound probability. Feel free to Google the concepts to enlighten yourself.
That sucks... I'm an actuary. Guess I'll quit now. Lol don't want to make this a big thing, but I can tell you with 100% confidence that:
1) the events you mentioned are not independent.
2) the compound probability of several of these events occurring is greater than if they had been independent.
No problem, in the thread I linked to, there was a proposed math major who doesn't understand the concepts either. A simple Google search of those concepts will show you that you are incorrect in categorizing football games in a season as dependant events.
Maybe not the top end talent we had last year. But we have more depth. And you have to think we'll have less injuries. Last year's team performs a lot better if we dont lose 20+ starters to injuries.
K. I humored you and Googled it.
"In probability theory, two events are independent, statistically independent, or stochastically independent if the occurrence of one does not affect the probability of occurrence of the other."
If you're right that these events are independent, that means that you believe:
1) Beating Alabama doesn't make us any more likely to beat an SECw team (and vice versa)
2) Beating Florida in the swamp doesn't make us any more likely to win 7+ SEC games
3) Winning the SECe doesn't make us any more likely to win the SEC
I'm pretty sure you don't believe these statements (because they're absurd), but I think you're not appreciating what independence actually means. Maybe a negative example will work:
Does losing to Indiana State mean we are more or less likely to lose to Florida? Any reasonable person would say, "Yes, if we lose to Indiana State, we are not a good football team, and we will probably lose to Florida." I'm sure you would feel much worse about our chances in the Florida game (and every game) if we lost to Indiana State... That's called dependence.
Idk how else to explain it, so I guess we'll just agree to disagree, but I assure you respectfully that your statistical assertions are incorrect. :hi:
How do you know we have more depth? Bodies does not equal depth....proven, experienced players who have shown they can play and compete at a high SEC level with little to no drop off from the starter ahead of them equals depth. It's far more than just numbers.
Also, we lost nowhere near 20+ starters to injury last year. That's ridiculous. Please give us details to back up that misstatement. Who were the 20+ starters that we "lost"?
We have more depth because we have a roster with a 4 year recruiting rank similar to Clemson last year. Based on recruiting this is the most talented roster Tennessee has had top to bottom since the mid-2000s.
We have the depth to compete for a national title.