The thing is a human is unlikely to reliably pick a random selection when they have an interest in the outcome, there will always be an underlying bias, even when someone (attempts to) randomly pick outcomes. Psychologically speaking, any fan is likely to be wanting either a glamour draw (e.g. Spain, France, etc) or an "easy" draw (e.g. Greece, Slovenia, etc) or a pessimistic draw (Holland, Russia etc) or some other set of criteria depending on their outlook. There are also other constraints, for instance there is a chance of being in a 5 team group (with the 6th seed being blank), yet due to human bias noone has really considered this, a blank team is similar to a "no answer" or "n/a" in a survey and with human input this will be under-selected.
The actual probability is more subtle than say 5 in 44 (France + the other "43 other teams"). As the teams are set into six pots, once a team is drawn from one of those pots the remaining 8 teams cannot go into that group. For instance England could draw France, Bosnia, Poland, Cyprus, San Marino. But once France had been drawn, they could then no longer draw Montenegro, Russia, Sweden, Denmark, Slovenia, Turkey, Serbia or Slovakia.
Also as mentioned above, using 5 in 44 (5 being seeding pots 2-6; 44 being the other 43 + France) is slightly wrong anyway, since England can draw a blank team in pot 6 (i.e. be in a 5 team group instead of a full 6 team group), so mathematically "Blank" needs to be a team, so it needs the baseline needs to be 45 not 44.
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