Probability Concepts Quiz
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Questions and Answers

What is the probability that a randomly selected adult from the survey carries no cash?

  • $0.19$
  • $0.15$
  • $0.13$
  • $0.17$ (correct)

    • What is the probability that a randomly selected person has a birthday on the 1st day of a month?

  • $\frac{1}{30}$
  • $\frac{1}{12}$ (correct)
  • $\frac{1}{31}$
  • $\frac{1}{365}$

    • What is the probability that a randomly selected adult female volunteered at least once in the past year?

  • $0.31$ (correct)
  • $0.28$
  • $0.29$
  • $0.25$

    • What are the odds against correctly guessing an answer to a multiple-choice question with 5 answers?

    <p>4 to 1</p> Signup and view all the answers

    What is the probability of getting 3 girls and 1 boy in 4 births?

    <p>$\frac{6}{16}$</p> Signup and view all the answers

    Study Notes

    Probability of Carrying No Cash

    • Out of 3000 adults surveyed, 510 do not carry cash.
    • The probability of a randomly selected adult carrying no cash is 510/3000, which simplifies to 17/100 or 0.17.

    Birthday Probabilities

    • Excluding leap years, there are 365 days in a year.
    • The probability of a person having a birthday on the 1st of a month is 12/365.
    • The probability of a person having a birthday on the 31st of a month is 7/365, as only seven months have 31 days.

    Probability of Volunteering

    • 341 out of 1100 surveyed female adults volunteered at least once in the past year.
    • The probability of a randomly selected adult female volunteering at least once in the past year is 341/1100.

    Odds Against Correctly Guessing

    • A multiple-choice question has 5 possible answers.
    • There is 1 correct answer and 4 incorrect answers.
    • The odds against guessing correctly are 4:1, meaning there are 4 chances of being wrong for every 1 chance of being right.

    Gender Sample Space and Probability

    • A couple has 4 children, with each child having the possibility of being a boy (B) or a girl (G).
    • The sample space for the genders of four births is represented by all possible combinations of B and G.
    • This can be visualized using a tree diagram, leading to 16 possible outcomes:
      • BBBB, BBBG, BBGB, BBGG, BGBB, BGBG, BGGB, BGGG, GBBB, GBBG, GBGB, GBGG, GGBB, GGBG, GGGB, GGGG.
    • The probability of having 3 girls and 1 boy (in any order) is 4/16 or 1/4, as there are 4 outcomes with 3 girls and 1 boy.

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    Section 4.1 Collected Work PDF

    Description

    Test your understanding of probability with this quiz that covers concepts such as cash carrying, birthday probabilities, volunteering statistics, and odds against guessing. Explore real-world examples to solidify your knowledge of how probability works in various scenarios.

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