NBA Lottery Game Thread

zenter

indian sweet
SoSH Member
Oct 11, 2005
5,641
Astoria, NY
My math could be way off, but I believe the chances of draft order being same as lottery position is something like 0.02%
 

RoDaddy

Well-Known Member
Lifetime Member
SoSH Member
Jun 19, 2002
3,271
Albany area, NY
Package this, the other first rounder and whatever roster player(s) it takes, save AB and IT, for Cousins.
Actually AB is the quality player I'd most be willing to trade since we have so many guards and Rozier's game is pretty close to his.
 

Eddie Jurak

canderson-lite
Lifetime Member
SoSH Member
Dec 12, 2002
44,884
Melrose, MA
Actually AB is the quality player I'd most be willing to trade since we have so many guards and Rozier's game is pretty close to his.
I thought the same thing at first. But then I thought - he's our only reliable shooter. Not sure they can afford to lose him.
 

NavaHo

Member
SoSH Member
Jun 29, 2010
325
My math could be way off, but I believe the chances of draft order being same as lottery position is something like 0.02%
Only three lottery spots are chosen. So the odds of the draft going chalk as it did were (Odds that PHI gets the #1) x (Odds that LAL gets the #2) x (Odds the BOS gets 3).

(.269) x (.188) x (.156) = 0.0078, or 0.78%

Unlikely, yes, but still the most likely of all possible outcomes.
 

DisgruntledSoxFan77

Member
SoSH Member
Jun 12, 2015
1,886
Quincy
Lemons to lemonade: we're adding the third overall pick to a playoff team. We could have done much MUCH worse.

My initial thought was trade the pick but my gut tells me there's not gonna be anyone available better than Hield.
 

Ed Hillel

Wants to be startin somethin
SoSH Member
Dec 12, 2007
44,439
Here
Only three lottery spots are chosen. So the odds of the draft going chalk as it did were (Odds that PHI gets the #1) x (Odds that LAL gets the #2) x (Odds the BOS gets 3).

(.269) x (.188) x (.156) = 0.0078, or 0.78%

Unlikely, yes, but still the most likely of all possible outcomes.
It's actually higher, since the .188 and .156 make up a higher proportion of the balls after the first and second picks, respectively.
 

NoXInNixon

Member
SoSH Member
Mar 24, 2008
5,343
Only three lottery spots are chosen. So the odds of the draft going chalk as it did were (Odds that PHI gets the #1) x (Odds that LAL gets the #2) x (Odds the BOS gets 3).

(.269) x (.188) x (.156) = 0.0078, or 0.78%

Unlikely, yes, but still the most likely of all possible outcomes.
That's not even right, because once Philly gets the #1 pick, LA's probability of being #2 increases. And when LA gets #2, Boston's probability of #3 goes up.
 

NavaHo

Member
SoSH Member
Jun 29, 2010
325
It's actually higher, since the .188 and .156 make up a higher proportion of the balls after the first and second picks, respectively.
That's not even right, because once Philly gets the #1 pick, LA's probability of being #2 increases. And when LA gets #2, Boston's probability of #3 goes up.
Should have known I was missing something there, thanks.
 

zenter

indian sweet
SoSH Member
Oct 11, 2005
5,641
Astoria, NY
Only three lottery spots are chosen. So the odds of the draft going chalk as it did were (Odds that PHI gets the #1) x (Odds that LAL gets the #2) x (Odds the BOS gets 3).

(.269) x (.188) x (.156) = 0.0078, or 0.78%

Unlikely, yes, but still the most likely of all possible outcomes.
That's not even right, because once Philly gets the #1 pick, LA's probability of being #2 increases. And when LA gets #2, Boston's probability of #3 goes up.
Ah, yes, that makes sense. I was thinking odds of everyone staying in their draft slot, but that's absurd.
 

BigSoxFan

Member
SoSH Member
May 31, 2007
47,325
Interesting situation with Philly and LA. Simmons will certainly want LA and his camp will be putting pressure on Philly. Ingram is probably a better fit for Philly anyways but they'll want an asset to trade Simmons. And they already have LA's pick. I'd go for something like Okafor/#1 for Russell/#2. See how bad LA wants Simmons.
 

tims4wins

PN23's replacement
SoSH Member
Jul 15, 2005
37,898
Hingham, MA
Sounds like we averted disaster

Inside the closed-off drawing room, where everyone has to give up their phones and computers so the results remain secret, the rest of the lottery unfolded in order for the first time in league history. But if you knew the system, there was still at least one moment of glorious, absurd, delicious lottery-inspired tension.

After the lottery gods awarded the Lakers the No. 2 pick, league officials began drawing the four-number combo that would determine which team would pick third. The first three numbers: 9, 4, 7. If the final number were eight or higher, Minnesota, in the No. 5 slot, would leapfrog both Phoenix and Boston. If it came up as a 5 or 6, Phoenix and Boston would flip places. A 1 or 2 would mean a re-draw, because the Sixers and Lakers owned those combinations.

Wyc Grousbeck, the Celtics owner and drawing room rep, was reduced to this: hoping for "3," the only ball that would hold Boston in the No. 3 slot, a one-in-eleven shot at that exact moment.

"I was just thinking, 'Oh, no! Only one ball can save us now!'" Grousbeck told me afterward, when we were all sequestered in the drawing room.
 

In my lifetime

Well-Known Member
Lifetime Member
SoSH Member
Dec 18, 2003
959
Connecticut
That's not even right, because once Philly gets the #1 pick, LA's probability of being #2 increases. And when LA gets #2, Boston's probability of #3 goes up.
So I believe the odds of staying in the order of finish are: .269 x .199/(1.0-.250) x .156(1.0 - .250 - .199) = .0202. That is about a 2% chance unless there is an error in my construct.
 

In my lifetime

Well-Known Member
Lifetime Member
SoSH Member
Dec 18, 2003
959
Connecticut
Actually the odds are minimally different than that, since if the 76ers got the pick via the Kings, the odds for the 2nd and 3rd pick would change to:
.269 x .199/(1.0 - .019) x .156/(1.0 - .019 - .199)=.0107 or ~1% chance
Since the 76ers would still keep their chances to take the 2nd pick in which case it would have gone to the Kings.
However, that will not move the needle much since there is only a 1.9% chance of the 1% happening from the start.
 
Last edited:

zenter

indian sweet
SoSH Member
Oct 11, 2005
5,641
Astoria, NY
One in 11? Is there a digit in there twice?
Guessing there are a certain amount of 1s, 2s, 3s, etc. in the machine but i may be wrong
- The hopper has 14 balls (numbered 1-14), and they pull 4 balls for each draw.
- Draws are combinations, not permutations (1,2,3,4 and 1,3,4,2 are the same)
- Combos are assigned to teams in draft order and ascending numerical order, so basically Philly had all the combos with "1" and LA all remaining combos with "2"
- Combos that select a team already picked are discarded and re-drawn

So: By the time of the 3rd pick, all combos involving 1 or 2 are ineligible so those balls can be removed from the hopper. All the eligible "3s" belonged to the Cs, so of the 11 remaining balls, a "3" would guarantee Cs pick 3rd.
 

moondog80

heart is two sizes two small
SoSH Member
Sep 20, 2005
8,303
Guessing there are a certain amount of 1s, 2s, 3s, etc. in the machine but i may be wrong
- The hopper has 14 balls (numbered 1-14), and they pull 4 balls for each draw.
- Draws are combinations, not permutations (1,2,3,4 and 1,3,4,2 are the same)
- Combos are assigned to teams in draft order and ascending numerical order, so basically Philly had all the combos with "1" and LA all the combos with "2"

So: By the time of the 3rd pick, all combos involving 1 or 2 are ineligible so those balls can be removed from the hopper. Most of the "3s" belonged to the Cs, so of the 11 remaining balls, a "3" would essentially guarantee Cs pick 3rd.
Got it. Thanks. I was thinking they'd just have 3 hoppers with 10 balls each.
 

Manzivino

Member
SoSH Member
Jul 31, 2006
7,182
MA
I don't have the exact math breakdown but the CSNNE report I saw last night said 1.87% chance of the lottery resulting in no changes to the draft order.
 

Bowlerman9

bitchslapped by Keith Law
Lifetime Member
SoSH Member
Feb 1, 2003
5,227
I don't have the exact math breakdown but the CSNNE report I saw last night said 1.87% chance of the lottery resulting in no changes to the draft order.
This is correct (well, close enough). The actual answer is 1.878%.

Philly had a 25.0% chance of winning.
Given that Philly won the #1 pick, LA had a 26.5% chance of winning the #2 pick.
Given Philly/LA went 1/2, Boston had a 28.3% chance of winning the #3 pick.

Odds of 1/2/3 are 1.878%.
 

oumbi

Member
SoSH Member
Jun 15, 2006
4,197
But wouldn't the odds change as the draft progressed? I mean, the odds of Boston getting the 3rd pick would shift each time the Philly combos and LA combos were removed, wouldnt they? I may be misreading what you are saying, but the odds you give assume no combinations have been removed and represent the draft before it begins. As it begins and combinations are withdrawn from consideration, Boston's odds of getting the third pick would increase.

Wouldn't this alter the odds? But then again, I may very well be full of crap and simply missing your point. That would not surprise me either.
 

In my lifetime

Well-Known Member
Lifetime Member
SoSH Member
Dec 18, 2003
959
Connecticut
This is correct (well, close enough). The actual answer is 1.878%.

Philly had a 25.0% chance of winning.
Given that Philly won the #1 pick, LA had a 26.5% chance of winning the #2 pick.
Given Philly/LA went 1/2, Boston had a 28.3% chance of winning the #3 pick.

Odds of 1/2/3 are 1.878%.
Just nitpicking a bit, but Philly had a 26.9% chance of winning. The extra 1.9% was via the Kings 1st pick chances (Philly could switch picks with them in that case)
 

Cesar Crespo

79
SoSH Member
Dec 22, 2002
21,588
But wouldn't the odds change as the draft progressed? I mean, the odds of Boston getting the 3rd pick would shift each time the Philly combos and LA combos were removed, wouldnt they? I may be misreading what you are saying, but the odds you give assume no combinations have been removed and represent the draft before it begins. As it begins and combinations are withdrawn from consideration, Boston's odds of getting the third pick would increase.

Wouldn't this alter the odds? But then again, I may very well be full of crap and simply missing your point. That would not surprise me either.

Could be reading it wrong, but I think those odds adjust after combos have been removed. Or rather, they are the adjusted odds.