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Statistical Probabilities and Distributions

Homework for Prob./Dist. Lesson 6

    Complete the following with a short answer.

  1. The ?................? against Real Quiet winning are posted as 3:1.

     

  2. That corresponds to a ?..........................? of ¼ or 25%.

     

  3. The odds ?..........................? Real Quiet winning are then 1:3.

     

  4. The use of odds makes it easier to deal with the money exchanges that result from ?................?.

     

  5. For ?................?, the odds against an event represent the ratio of net profit to the amount bet.

     

  6. Odds against event A occurring is the ?..........................? P(Ã)/P(A).

     

  7. Odds are expressed in the form a:b where a and b are integers, usually having no common ?..........................?.

     

  8. There is no easy ?..........................? rule for calculating odds when combining independent events.

     

    Calculate the odds in favor and the odds against each event given. Assume regular, fair six-sided dice, an American-style roulette wheel (38 positions numbered 00 and 0 to 36), standard card deck (52 cards in 4 suites, no jokers), etc.

  9. Rolling a dice total of 30 with 5 dice.

     

     

  10. Rolling a dice total of 29 with 5 dice.

     

     

  11. Being dealt a 4 card hand of cards, all being aces.

     

     

  12. Being dealt a 5 card hand of cards, none of which are ace or face cards. (Express this first using 36C5 and 52C5, then reduce it symbolically, showing your work.)

     

     

  13. The roulette number selected is prime (remember, one is not prime).

     

     

  14. The roulette number selected is green (the 00 or the 0).

     

     

  15. The roulette number selected is red (half those not 00 nor 0).

     

     

  16. Suppose you go to the race track and see the following odds posted. Calculate the corresponding probabilities. White (2 to 1); Black (3 to 1); Blue (5 to 1); and Green (11 to 1).

     

     

  17. For the odds in the previous problem, sum the probabilities.

     

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