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    Statistics: Probability with a Roulette Wheel and Population Data

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    Question: A roulette wheel has 38 slots, numbered 0, 00, and 1 to 36. The slots 0 and 00 are colored green, 18 of the others are red, and 18 are black. The dealer spins the wheel and at the same time rolls a small ball along the wheel in the opposite direction. The wheel is carefully balanced so that the ball is equally likely to land in any slot when the wheel slows. Gamblers can bet on various combinations of numbers and colors.

    (a) What is the probability of any one of the 38 possible out-comes? Explain your answer.
    (b) If you bet on "red", you win if the ball lands in a red lot. What is the probability of winning?
    (c) The slot numbers are laid out on a board on which gamblers place their bets. One column of numbers on the board contains all multiples of 3, that is, 3,6,9,.....,36. You place a "column bet" that wins if any of these numbers comes up. What is your probability of winning?

    Question: Identify the population as exactly as possible. That is, say what kind of individuals the population consists of and say exactly which individuals fall in the population. If the information given is not complete, complete the description of the population in a reasonable way.
    a) A college has changed its core curriculum and wants to obtain detailed feedback information from the students during each of the first 12 weeks of the coming semester. Each week, a random sample of 5 students will be selected to be interviewed.
    b) The American Community survey (ACS) will replace the census "long form" starting with the 2010 census.the main part of the ACS contacts 250,000 addresses by mail each month, with follow-up by phone and in person if there is no response. Each household answers questions about their housing, economic, and social status.
    c) An opinion poll contacts 1161 adults and asks them," which political party do you think has better ideas for leading the country in the twenty-first century."

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    Solution Preview

    a) Since all these 38 outcomes are equally likely, the probability of any one of the 38 possible outcomes is 1/38.
    b) Since there are 18 reds, the probability ...

    Solution Summary

    The probability with a Roulette wheel and population data is examined. Opinion poll contacts for adult political parties.