1 Germany ----+ +-- ? --+ 2 Sweden -----+ | +-- ? --+ 3 Argentina --+ | | +-- ? --+ | 4 Mexico -----+ | +-- ? --+ 5 Italy ------+ | | +-- ? --+ | | 6 Australia --+ | | | +-- ? --+ | 7 Switzerl ---+ | | +-- ? --+ | 8 Ukraine ----+ | +-- World Champion 9 England ----+ | +-- ? --+ | 10 Ecuador ----+ | | +-- ? --+ | 11 Portugal ---+ | | | +-- ? --+ | | 12 Holland ----+ | | +-- ? --+ 13 Brazil -----+ | +-- ? --+ | 14 Ghana ------+ | | +-- ? --+ 15 Spain ------+ | +-- ? --+ 16 France -----+Problem For each possible match A vs. B between these 16 nations, you are iven the probability that team A wins against B. Your task is to determine for each nation the chance to become the world champion.
1
Germany
Sweden
Argentina
Mexico
Italy
Australia
Switzerl
Ukraine
England
Ecuador
Portugal
Holland
Brazil
Ghana
Spain
France
50 67 55 70 65 77 75 72 62 75 65 63 57 80 56 68
33 50 38 53 48 60 58 55 45 58 48 46 40 63 39 51
45 62 50 65 60 72 70 67 57 70 60 58 52 75 51 63
30 47 35 50 45 57 55 52 42 55 45 43 37 60 36 48
35 52 40 55 50 62 60 57 47 60 50 48 42 65 41 53
23 40 28 43 38 50 48 45 35 48 38 36 30 53 29 41
25 42 30 45 40 52 50 47 37 50 40 38 32 55 31 43
28 45 33 48 43 55 53 50 40 53 43 41 35 58 34 46
38 55 43 58 53 65 63 60 50 63 53 51 45 68 44 56
25 42 30 45 40 52 50 47 37 50 40 38 32 55 31 43
35 52 40 55 50 62 60 57 47 60 50 48 42 65 41 53
37 54 42 57 52 64 62 59 49 62 52 50 44 67 43 55
43 60 48 63 58 70 68 65 55 68 58 56 50 73 49 61
20 37 25 40 35 47 45 42 32 45 35 33 27 50 26 38
44 61 49 64 59 71 69 66 56 69 59 57 51 74 50 62
32 49 37 52 47 59 57 54 44 57 47 45 39 62 38 50
Scenario #1:
Germany 17.69
Sweden 3.45
Argentina 12.32
Mexico 2.65
Italy 7.04
Australia 1.81
Switzerl 2.43
Ukraine 3.46
England 7.75
Ecuador 1.83
Portugal 5.19
Holland 6.36
Brazil 12.20
Ghana 0.89
Spain 11.47
France 3.46