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Winning Bets - Colegiul Național din Iași (Iași - Roumanie)

Titre du sujet: 
Winning Bets
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Résumé: 
The research topic At a casino, people are betting on the results of 7 matches. Each match can have 2 outcomes (0-the guest team wins, 1-the away team wins). The first prize is won for guessing all results, the second one for guessing all except one. A playslip consists of the choices of 7 results.  A: Which is the probability of winning the first prize (respectively the second one) for a randomly completed playslip?  B: What is the minimum number of playslips which have to be completed in order to surely win the first prize? What is the minimum number of playslips which have to be completed in order to win at least a first prize or a second prize? Give such an example of completing the playslips.  C: Same questions as above but in the hypothesis the matches can have 3 results (0,x,1) and that there are 13 matches(Sweepstakes game).  D: Generalization.
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