Question 626355
In each of them there are 32 teams (a total of 192 teams). 
What are the chances (probability) of someone predicting all champions correctly (if we assume there are no favourites nor underdogs, all teams are of exactly the same strength on paper). 
Cup A – 32 teams
Cup B – 32 teams
Cup C – 32 teams
Cup D – 32 teams
Cup E – 32 teams
Cup F – 32 teams 
I’m interested in the probability of guessing all six champions, also (if it’s not too much work to calculate), what is the probability of guessing 5/6, 4/6 and 3/6. 
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Probability a team takes the Cup: 1/32
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Probability you choose 6 Cup takers: (1/32)^6 = 9.31x10^-10.
That means 0.000000000931
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Probability you choose 5 winners: 6C5(1/32)^5*(31/32) = 1.73x10^-7
That means 0.000000173
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Pick 4: 6C4(1/32)^4(31/32)^2 = 0.0000134
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Pick 3: 6C3(1/32)^3(31/32)^3 = 0.000555
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Cheers,
Stan H.