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Probability with Coins and Beads
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Probability with Coins and Beads

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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.

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    Description

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

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