Friday, May 14, 2010

World Cup 2010: Probability & Odds for Greece

Assuming that each of the 8 groups is an independent microcosm (I think a valid assumption) then the relative probabilities (based on FIFA ranking points per team) that each of the teams will go through the group stage are:

Group A
P(France) = 0.321 
P(Mexico) = 0.288
P(Uruguay) = 0.278
P(South Africa) = 0.113
Group B
P(Argentina) = 0.305
P(Greece) = 0.272
P(Nigeria) = 0.249
P(South Korea) = 0.174
Group C
P(England) = 0.289
P(United States) = 0.257
P(Slovenia) = 0.232
P(Algeria) = 0.222
Group D
P(Germany) = 0.296
P(Serbia) = 0.253
P(Australia) = 0.236
P(Ghana) = 0.215
Group E
P(Netherlands) = 0.344
P(Cameroon) = 0.250
P(Denmark) = 0.216
P(Japan) = 0.190
Group F
P(Italy) = 0.375
P(Paraguay) = 0.260
P(Slovakia) = 0.235
P(New Zealand) = 0.130
Group G
P(Brazil) = 0.403
P(Portugal) = 0.312
P(Ivory Coast) = 0.212
P(North Korea) = 0.073
Group H
P(Spain) = 0.382
P(Chile) = 0.232
P(Switzerland) = 0.209
P(Honduras) = 0.178

The odds that Greece will go through the group stage are:

0.272 / (1 - 0.272) = 0.374 or about 3:8

The odds against are 8:3.

In general, Group B is difficult but it seems that the most competitive groups are C and D. And although Group G is the group of death, the probability that Brazil and Portugal will advance to the round of 16 is very high.

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