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yashar806

  • one year ago

Probability

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  1. yashar806
    • one year ago
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    The following five games are scheduled to be played at the World curling championship one morning. The values in parentheses are the probabilities of each team winning their respective game. Game 1: Finland vs Germany Game 2:USA vs Switzerland Game3:Japan vs Canada Game4:Denmark vs Sweden Game 5:France vs Scotland The outcome of interest is the winners of the five games.how many out comes are contained in the sample space?

  2. 14whitea
    • one year ago
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    the answer is 5.

  3. yashar806
    • one year ago
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    No answer is 32

  4. yashar806
    • one year ago
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    But I don't know how

  5. amistre64
    • one year ago
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    there are no paranthesised values

  6. yashar806
    • one year ago
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    0.43 vs 0.57 0.28vs 0.72 0.11vs 0.89 0.33vs o.67 0.18vs 0.82

  7. amistre64
    • one year ago
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    assuming each game can only have one winner ... and he outcome of interest is the winners of the five games. a.b -> a c.d -> c e.f -> e g.h -> g i .j -> i which leads one to believe that the set of outcomes has a cardinality of 5 is there something else to the setup that we might be overlooking?

  8. yashar806
    • one year ago
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    But the answer is 32

  9. amistre64
    • one year ago
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    it might be asking, of the 10 teams, how many ways are there to choose 5 winners? (10P5)/5! 10.9.8.7.6 ----------- 5.4.3.2 2.9.7.2 ; .... is greater than 32 so its not that

  10. yashar806
    • one year ago
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    What is the probability that at least one underdog wins?

  11. yashar806
    • one year ago
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    Underdog is the team who is less likely to win

  12. amistre64
    • one year ago
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    i dont know the rules of how winners are paired up with losers ... so i cant even begin to make an educated run at this

  13. amistre64
    • one year ago
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    you have 5 teams in the running, 4 teams get paired up with a 1 team in the wings .... to do what? there is either assumed knowledge that is not present, or missing information that i cant deduce.

  14. yashar806
    • one year ago
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    The favourite is the team with the higher probability of winning

  15. yashar806
    • one year ago
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    Underdog is the team who is less likely to win

  16. yashar806
    • one year ago
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    What is the probability that at least one underdog wins?

  17. yashar806
    • one year ago
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    That's what all the question asking about

  18. amistre64
    • one year ago
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    thats doesnt really help me out in determining anything past the first round of winners and losers

  19. amistre64
    • one year ago
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    in any case, this question makes no sense to me so im not going to be of any use in solving it .... good luck

  20. yashar806
    • one year ago
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    I have included the relevant numbers for each team

  21. amistre64
    • one year ago
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    yes you have, and they still dont help me sort anything out ....

  22. yashar806
    • one year ago
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    Tomo help me

  23. tomo
    • one year ago
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    C(2,1)*C(2,1)*C(2,1)*C(2,1)*C(2,1) = 2^5 = 32

  24. yashar806
    • one year ago
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    What is the probability that at least one underdog wins?

  25. tomo
    • one year ago
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    1-P(no underdog wins)

  26. yashar806
    • one year ago
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    What are the non underdog wins?

  27. amistre64
    • one year ago
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    it almost sounds like a decision tree model http://www.bus.utk.edu/stat/datamining/Decision%20Trees%20for%20Predictive%20Modeling%20(Neville).pdf

  28. amistre64
    • one year ago
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    i see the 32 from 5 cases in there

  29. tomo
    • one year ago
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    Game 1: Finland vs Germany Game 2:USA vs Switzerland Game3:Japan vs Canada Game4:Denmark vs Sweden Game 5:France vs Scotland 0.43 vs 0.57 0.28 vs 0.72 0.11 vs 0.89 0.33 vs 0.67 0.18 vs 0.82 since they are independent P(A AND B) = P(A)*P(B) you want 1-[P(germany wins AND switzerland wins AND canda wins AND sweden wins AND scotland wins)] = 1-P(germany wins)*P(switzerland wins) *P(canada wins) * P(sweden wins) * P(scotland wins) = 1-(.57*.72*.89*.67*.82) = 0.7993283536

  30. kropot72
    • one year ago
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    Each game has 2 possible outcomes. The sample space is 2^5 = 32

  31. yashar806
    • one year ago
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    I see thank you very much tomo

  32. tomo
    • one year ago
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    your welcome

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