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Could someone post the link to the site that this came from please. this variation in probability must be to do with the match days, and broadcast rights, ie English teams on different nights, remember the draw 2 seasons ago when we wound up with Dortmund.......
Explanation (????) translated from the site.
The most likely cross 1/ 8 finals would Schalke v Manchester Utd , Bayern Munich v Arsenal , Leverkusen v Chelsea and Manchester City v Bor.Dortmund
explanation:
Suppose instead of 8 crosses were only 4 crosses, invented the following groups -A , B , C and D
- Group A: PSG (1st) and Olympiacos (2nd)
- Group B: Chelsea (1st) and Bayer Leverkusen (2nd)
- Group C: Bayern Munich (1st) and Galatasaray (2nd)
- Group D: Real Madrid (1st) and Manchester City (2nd)
If you limit the draw to prohibit teams from the same group are facing , but it has allowed cross between teams from the same country , have these giveaways possible :
( 1) PSG- LEV, CHE- OLY , BAY- MCI and RMA -GAL
( 2) PSG -LEV , CHE -MCI , BAY- OLY -GAL and RMA
( 3) PSG -MCI , CHE - OLY , BAY- LEV and RMA -GAL
( 4) PSG -GAL , CHE - OLY , BAY- MCI and RMA- LEV
(5) PSG -GAL , CHE -MCI , and RMA BAY- OLY -LEV
(6 ) PSG -MCI , CHE -GAL , and RMA BAY- OLY -LEV
( 7) PSG -LEV , CHE -GAL , BAY- MCI and RMA- OLY
( 8) PSG -GAL , CHE -MCI , BAY- LEV and RMA- OLY
( 9) PSG -MCI , CHE -GAL , BAY- LEV and RMA- OLY
9 possible draws (11.11% each) and each confrontation appears in 3 draws (11.11% x 3 = 33.33 % chance )
But if we add the constraint that no teams from the same country - would eliminate the sweepstakes listed CHE -MCI and cross -LEV - BAY , these drawings are reduced to the following :
( 1) PSG- LEV, CHE- OLY , BAY- MCI and RMA -GAL
( 4) PSG -GAL , CHE - OLY , BAY- MCI and RMA- LEV
(6 ) PSG -MCI , CHE -GAL , and RMA BAY- OLY -LEV
( 7) PSG -LEV , CHE -GAL , BAY- MCI and RMA- OLY
Only these are no longer possible sweepstakes and all appear the same number of times , the Bayern -Manchester City appears in 3 of the 4 possible draws ( 75%), others appear in 2 of 4 ( 50%) and others on 1 April ( 25 % )
Applying this reasoning to the 8 official groups Champions 2013/14 , we went from 40,320 to 3,497 real pure drawings that meet the conditions
http://www.laligaennumeros.es/2013/12/probabilidades-de-cruces-en-octavos-de.html