Probability with Coins and Beads
56 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the probability that an Emotional Health Index Score is 82.7?

  • 0.15
  • 0.30
  • Cannot be determined with the given information (correct)
  • 0.20

    • Find the probability that an Emotional Health Index Score is more than 81, given that it is more than 80.5.

  • 0.7
  • 0.8
  • 0.4
  • 0.6 (correct)

    • What is the probability that an Emotional Health Index Score is 80.7 or 82.7, given that it is either 80.7 or 82.7?

  • 0.5
  • 0.3
  • 1 (correct)
  • 0.7

    • What is the probability that an Emotional Health Index Score is less than 80.2, given that it is already less than 81?

    <p>0.5</p> Signup and view all the answers

    Which occupation has the highest emotional index score?

    <p>Cannot be determined with the given information</p> Signup and view all the answers

    Among California registered voters who support same-sex marriage, what percentage say the Supreme Court’s ruling about the constitutionality of California’s Proposition 8 is very or somewhat important to them?

    <p>75%</p> Signup and view all the answers

    What is P(C|A)?

    <p>0.75</p> Signup and view all the answers

    What is P(B|C)?

    <p>0.75</p> Signup and view all the answers

    What is the sample size for the study on Mayor Ford's popularity?

    <p>1046</p> Signup and view all the answers

    What is the probability that a person supported Mayor Ford, based on the data collected in mid-2011?

    <p>0.57</p> Signup and view all the answers

    What is the probability of winning a bet on an even number in roulette?

    <p>0.5</p> Signup and view all the answers

    Are the events Even and 1st Dozen independent?

    <p>No, they are not independent</p> Signup and view all the answers

    What is the probability of drawing a green card given that the card drawn is even-numbered?

    <p>0.5</p> Signup and view all the answers

    What is the sample space for rolling two fair dice?

    <p>36</p> Signup and view all the answers

    What is the probability that the sum of the two rolls is at most seven?

    <p>0.4</p> Signup and view all the answers

    Are events A and B mutually exclusive?

    <p>No, they are not mutually exclusive</p> Signup and view all the answers

    What is the probability of picking a blue card, followed by landing a head on the coin toss?

    <p>0.2</p> Signup and view all the answers

    Are events A and B independent?

    <p>No, they are not independent</p> Signup and view all the answers

    Are the events 'hit being made by Hank Aaron' and 'hit being a double' independent?

    <p>Yes, because P(hit by Hank Aaron|hit is a double) = P(hit by Hank Aaron)</p> Signup and view all the answers

    What is the probability that a person has both type O blood and Rh- factor?

    <p>0.43*0.15</p> Signup and view all the answers

    What is the probability that a course has a final exam or a research paper?

    <p>0.94</p> Signup and view all the answers

    What is the probability that a cookie contains chocolate or nuts?

    <p>0.44</p> Signup and view all the answers

    What is P(D AND E)?

    <p>0.08</p> Signup and view all the answers

    Are the events D and E mutually exclusive?

    <p>No</p> Signup and view all the answers

    What is the probability that a randomly selected senator has an “Other” affiliation?

    <p>0</p> Signup and view all the answers

    What is the probability that a randomly selected senator is up for reelection in November 2016?

    <p>0.4</p> Signup and view all the answers

    What is the probability that a randomly selected senator is a Democrat and up for reelection in November 2016?

    <p>0.2</p> Signup and view all the answers

    Are the events 'Republican' and 'Up for reelection in 2016' mutually exclusive?

    <p>No</p> Signup and view all the answers

    What is the probability that Miguel selects a butter cookie on his second draw, given that he selected a chocolate cookie on his first draw?

    <p>7/9</p> Signup and view all the answers

    What is the probability that Miguel selects two cookies of the same flavor?

    <p>13/21</p> Signup and view all the answers

    What is the probability that Miguel selects two cookies of different flavors?

    <p>17/21</p> Signup and view all the answers

    What is the probability that the second cookie selected is a butter cookie?

    <p>7/10</p> Signup and view all the answers

    What is the probability that Miguel selects a chocolate cookie on his first draw and a butter cookie on his second draw?

    <p>21/40</p> Signup and view all the answers

    Are the probabilities for the flavor of the second cookie that Miguel selects independent of his first selection?

    <p>No</p> Signup and view all the answers

    What is the probability that Miguel selects at least one butter cookie?

    <p>31/42</p> Signup and view all the answers

    What is the probability that Miguel selects two cookies of the same flavor, given that he selected a butter cookie on his first draw?

    <p>4/7</p> Signup and view all the answers

    What is the condition for two events to be mutually exclusive?

    <p>They cannot happen at the same time.</p> Signup and view all the answers

    What is the probability that a randomly selected individual from Table 3.20 was a Black female?

    <p>1,061/21,081</p> Signup and view all the answers

    What is the probability that a randomly selected individual from Table 3.21 made a home run?

    <p>1,720/12,351</p> Signup and view all the answers

    What is the probability that a randomly selected child from Table 3.22 has straight brown hair?

    <p>80/215</p> Signup and view all the answers

    What is the probability that a randomly selected player from Table 3.23 weighs at most 210 pounds, given that his shirt number is from 1 to 33?

    <p>21/33</p> Signup and view all the answers

    What is the probability that the coin in the tree diagram lands on heads, given that a red bead is drawn?

    <p>2/3</p> Signup and view all the answers

    What is the probability that a randomly selected individual from Table 3.20 is a White male or over 65?

    <p>(8,395 + 2,792)/21,081</p> Signup and view all the answers

    What is the probability that a randomly selected individual from Table 3.21 made a hit, given that the hit was made by Ty Cobb?

    <p>1,577/4,189</p> Signup and view all the answers

    What is the probability that a randomly selected child from Table 3.22 has wavy or blond hair?

    <p>(43 + 15)/215</p> Signup and view all the answers

    What is the probability that a randomly selected player from Table 3.23 weighs at most 210 pounds and has a shirt number from 1 to 33?

    <p>21/33</p> Signup and view all the answers

    What is the probability of event A, where a three or a four is rolled first, followed by landing a head on the coin toss?

    <p>1/6</p> Signup and view all the answers

    Are events A and B mutually exclusive, where A is the event that either a three or a four is rolled first, followed by landing a head on the coin toss, and B is the event that the first and second tosses land on heads?

    <p>Yes, because the events have no common outcomes</p> Signup and view all the answers

    What is the probability of event C, where a red or blue is picked, followed by landing a head on the coin toss?

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

    Are events C and D mutually exclusive, given P(C) = 0.4, P(D) = 0.5, and P(C|D) = 0.6?

    <p>No, because P(C AND D) = 0.24</p> Signup and view all the answers

    What is the probability of event Y or Z, given that Y and Z are independent events, P(Y OR Z) = 0.71, and P(Y) = 0.42?

    <p>P(Y) + P(Z) - P(Y) * P(Z)</p> Signup and view all the answers

    What is the probability of event G, where G is the event that a person speaks Spanish at home, given that P(E′) = 0.1957, and P(S|E′) = 0.623?

    <p>0.1219</p> Signup and view all the answers

    What is Renate's chance of winning a Green Card, given that 6.5 million people entered the lottery, and 55,000 Green Cards were issued?

    <p>1/6.5 million</p> Signup and view all the answers

    What is the probability statement for the overall percent of money returned in the experiment, where 44% of the envelopes were returned overall?

    <p>P(R) = 0.44</p> Signup and view all the answers

    Are the events R and E independent, where R is the event that the money is returned, and E is the event that the envelope was from an economics class?

    <p>No, because P(R) ≠ P(R|E)</p> Signup and view all the answers

    What is the probability of event G, where G is the event that a person won a Green Card, given that 6.5 million people entered the lottery, and 55,000 Green Cards were issued, and once the finalists were chosen, each finalist had an equal chance to win?

    <p>1/110,000</p> Signup and view all the answers

    Study Notes

    Probability

    • There are 91 exercises that cover various topics in probability.

    Emotional Health Index Score

    • Exercises 68-73: Find the probability of different Emotional Health Index Scores (EHIS) and occupation types.

    Two Basic Rules of Probability

    • Exercise 80: Calculate probabilities related to California registered voters' opinions on same-sex marriage.

    Roulette

    • Exercises 82-84: Calculate probabilities of winning different types of bets in roulette.

    Card Games

    • Exercises 85-88: Calculate probabilities of drawing certain cards or combinations of cards.

    Independent and Mutually Exclusive Events

    • Exercises 91-94: Calculate probabilities of independent and mutually exclusive events.

    Conditional Probability

    • Exercises 95-97: Calculate conditional probabilities of various events.

    Blood Types

    • Exercise 98: Calculate probabilities of having a certain blood type or combination of blood types.

    Contingency Tables

    • Exercises 101-109: Calculate probabilities and conditional probabilities using contingency tables.

    National Health Interview Survey

    • Exercise 109: Calculate probabilities and conditional probabilities related to the National Health Interview Survey.

    Baseball Players

    • Exercises 110-111: Calculate probabilities of hits made by different baseball players.

    Children's Hair Color

    • Exercise 112: Calculate probabilities of children's hair color and type.

    Weights of Football Players

    • Exercise 113: Calculate probabilities of football players' weights and shirt numbers.

    Tree and Venn Diagrams

    • Exercises 114-116: Calculate probabilities using tree and Venn diagrams for coin tossing and cookie selection.

    Studying That Suits You

    Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

    Quiz Team

    Description

    Quiz on probability concepts including coin tosses and bead selection, with various scenarios and calculations.

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser