I know where you're coming from, but I personally am more concerned about the Pens pic.
I may be wrong, but I just can't see the Leafs not being last or second last. The Flames have Wideman back, Sabres are getting O'Reilly back, and the Oilers are getting better. Only the Jets are really sucking. If we end up last or second last, this means we get (if we miss the lottery) Chyrchrun or Dubois (or some other good Hunter pick). I'm very happy with that!
If Pens make it this year, we're going to be right at the 15 or 16 area. Someone on this board mentioned that even if they make it past the first round and get eliminated in the second round, we still end up picking in that range. That's gold! This year, we have those extra picks and players that can be packaged to move up to, say, 12 and grab a very good defender or other player.
Say the Pens don't get in though. Pens may very well: a) suck next year (which means no first rounder) or b) play much better. The latter could mean a pick in the 20's.
I just feel that the Pens pick is worth the most this year if they make it.
14 has less teams to beat out with each round.
Because there's a 20% chance we win the 1st lottery, so the odds of the winning the 2nd lottery is the odds we are in the 2nd lottery(80%) multiplied by the odds of winning once we get there(which will be >20 depending on who wins the first lottery)
Once we lose the 1st lottery the odds of winning the 2nd are greater than 20% but before the first lottery happens you have to take into account we might not be in the 2nd lottery if we win the first.
For example lets say 2nd place wins the first lottery. Our odds of winning the 2nd lottery would then be 20/86.5 = 23.12%, the 86.5 coming from all the teams odds for the first lottery minus the 13.5% from the 2nd team that gets taken out of it for the 2nd draw.
So if you just by that number as an estimate for our odds on the 2nd pick once we get there(the lower a team wins it the worse our odds for the 2nd pick would be, for example if the 6th last team won the 1st lottery or odds of the 2nd one is 21.62%, but for simplicity sake lets just use 23.12%).
The our odds of winning the 2nd pick is .80 x 0.2312 = 18.50%, in reality it's actually lower than that because our odds for the 2nd pick get worse if a team lower than 2nd last wins it which is highly likely.
Now after all that to answer you actual question. The 14th last place team is highly unlikely to win the first lottery, they have 1% chance, which means the chance they're in the 2nd lottery is 99%, so when multiplying their odds of winning the 2nd pick by this number it's above 1% so their offs of getting the 2nd pick when all is said and done is higher than their chance of getting the first pick.
You'll notice there's a buffer line in there where teams above it odds of obtaining the 2nd pick is lower than the first pick, and teams below it is higher. Only the top 3 teams have a lesser chance at the 2nd pick than they do at the first pick because their odds of winning the first pick are the higher so the odds they're not in the 2nd draw impacts their overall chance of winning it, which they wouldn't really care about because not being in the 2nd draw means you won the first.
tl;dr: the odds of winning the first pick for teams at the top(or bottom of the standings if you will) is high enough that them winning it and not being in the 2nd draw affects their overall odds of having the 2nd pick, while there's a really high chance the teams with the worse percentages are still in the draw because they didn't win their first pick so their overall odds go up a smidgen.
Not true...
Thanks for your detailed response.
Any statisticians know if this is the 'proper' way to evaluate this situation? What I mean is, shouldn't lotteries 1, 2 and 3 be treated as separate entities?
As soon as the first lottery is done, the previous odds shouldn't matter any more... its based on the first odds.
For instance, if the Leafs do not win the first lottery... they have a 23.12% chance as Canada4Gold mentioned.
Should we not be looking at it as (Lets assume picks 2 and 3 win the first two lotteries):
1st Lottery <- 20%
2nd Lottery <- 23.12%
3rd Lottery <- 26.66%
I'm no math guy either, but this is how I see it:
It's like roulette, where the odds of getting 10 reds in a row is the same as getting 5 reds and 5 blacks, if you treat each game as a separate entity. But if you play double or nothing 3 times, the games are no longer separate entities, but rather one continuous game of 3 chances.
So with the NHL lottery, the last place team has an 80% chance of NOT winning the lottery the 1st time, a 77% chance of NOT winning the 2nd time, and a 73% chance of NOT winning the 3rd time.
But because you have 3 chances to win the lottery, you can't just say you have a 73% chance of picking 4th overall. Because when you have 3 chances to win the lottery rather than just 1 chance, odds go up that you will get lucky at least 1 of those 3 times.
Math people- is this correct?
How would we feel if the leafs traded up from 2-3-4 to 1st using all our picks from 2-3 rounds?
How would we feel if the leafs traded up from 2-3-4 to 1st using all our picks from 2-3 rounds?
But you don't want to count your chickens before they hatch. We're not even that far away from Edmonton and Winnipeg, or even Calgary and Buffalo. Once we make up the extra games, we'll be even closer.
Yes, Pittsburgh's pick is worth more this year as opposed to next year, but Toronto drafting even 1 spot higher is more important when it's the difference between drafting 3-4, or 4-5. We can worry about Pittsburgh later.
How would we feel if the leafs traded up from 2-3-4 to 1st using all our picks from 2-3 rounds?
How would we feel if the leafs traded up from 2-3-4 to 1st using all our picks from 2-3 rounds?
How would we feel if the leafs traded up from 2-3-4 to 1st using all our picks from 2-3 rounds?
I think I'd do it. We have that extra pick in the 1st (hopefully) from the Pens for a D-man and we have a couple of extras in the 4 to 7 range, no? Hunter is a master with those late picks.
For Matthews - a potential/probable star C - I think it would be worth it. I wouldn't do this with our old scouting group in place though.
Two needs, 1st. line center, #1 defender
If you could use all the Leafs picks from the first 3 rounds to land those two players I'd be in. I realize they would be landing potentials, not guarantees.
So Leafs 1st., Penguins 1st.(hopefully), 2*2nd., 2*3rd., and even one of Kadri and van Riemsdyk for Matthews and Chychrun and couple late round picks. Swallow hard!
Ideally, Leafs win Matthews, and that makes it easier to land the potential #1 defender, but I'm counting on the Leafs getting 4th. overall, and anything better is a bonus.
Leafs vs Sens! We'll look back on this as a classic tank game in 40 years
24/30 teams in play today. Hopefully today is better than the last few days!
TOR vs OTT -> 3/4 points in the last 2 games. Let's put an end to this now, we get it, Mike, you're a great coach.
NYI vs BOS -> Islanders in OT would be nice, keeps some distance between the wildcard spot and if Boston should fall into a wildcard spot it'll hopefully be bumping PITS to the 2nd spot.
CAR vs BUF -> Chomp away at the wildcard threat's remaining games and create more distance between the Leafs. What's not to like here?
NYR vs DET -> Detroit wins, bumps PIT to WC2. Detroit loss, creates a bigger hill to climb to get into the Metro top 3.
COL vs WPG -> 29th place team needs some points. Easy call here.
MIN vs MON -> Gun to my head, MIN. Otherwise don't even care about this game
PHI vs FLA -> Philly won't go away. Need the Panthers to help PIT out big here otherwise we have PIT @ 78, DET and PHI @ 77.
STL vs DAL -> Teams rank #2 and #3 in the league. 0 effect.
NSH vs VAN -> Nashville in OT helps both picks. Vancouver is already 9 points up on the Leafs, NSH only 3 points up on the Pens. Otherwise I'd go VAN here.
ARI vs EDM -> I spend a lot of time switching tabs between this page, the standings and today's games to do these write ups, until I get to EDM.
NJD vs LAK -> NJD, TOR won't catch them, and they won't catch PIT. LAK, up by 6 over PIT and in the west.
WSH vs SJS -> Top team in the league vs a team that could bump the PIT pick down from the west. Easy choice here.
I'm no math guy either, but this is how I see it:
It's like roulette, where the odds of getting 10 reds in a row is the same as getting 5 reds and 5 blacks, if you treat each game as a separate entity. But if you play double or nothing 3 times, the games are no longer separate entities, but rather one continuous game of 3 chances.
So with the NHL lottery, the last place team has an 80% chance of NOT winning the lottery the 1st time, a 77% chance of NOT winning the 2nd time, and a 73% chance of NOT winning the 3rd time.
But because you have 3 chances to win the lottery, you can't just say you have a 73% chance of picking 4th overall. Because when you have 3 chances to win the lottery rather than just 1 chance, odds go up that you will get lucky at least 1 of those 3 times.
Math people- is this correct?
I'm no math guy either, but this is how I see it:
It's like roulette, where the odds of getting 10 reds in a row is the same as getting 5 reds and 5 blacks, if you treat each game as a separate entity. But if you play double or nothing 3 times, the games are no longer separate entities, but rather one continuous game of 3 chances.
So with the NHL lottery, the last place team has an 80% chance of NOT winning the lottery the 1st time, a 77% chance of NOT winning the 2nd time, and a 73% chance of NOT winning the 3rd time.
But because you have 3 chances to win the lottery, you can't just say you have a 73% chance of picking 4th overall. Because when you have 3 chances to win the lottery rather than just 1 chance, odds go up that you will get lucky at least 1 of those 3 times.
Math people- is this correct?
It is closer to 55% of picking 4th. I worked it out for the bottom few teams on a spreadsheet a while back. I'll dig it out when I'm not on mobile and post odds.
No Leafs fans can afford to cheer for a DET win right now. PIT getting the first wildcard spot would be infinitesimally better than them just barely missing the playoffs.
Not true...
Thanks for your detailed response.
Any statisticians know if this is the 'proper' way to evaluate this situation? What I mean is, shouldn't lotteries 1, 2 and 3 be treated as separate entities?
As soon as the first lottery is done, the previous odds shouldn't matter any more... its based on the first odds.
For instance, if the Leafs do not win the first lottery... they have a 23.12% chance as Canada4Gold mentioned.
Should we not be looking at it as (Lets assume picks 2 and 3 win the first two lotteries):
1st Lottery <- 20%
2nd Lottery <- 23.12%
3rd Lottery <- 26.66%