Basic Probability Examples Quiz
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Questions and Answers

If a certain event has a probability of 0.6, what is the probability of the event not happening?

  • 0.5
  • 0.3
  • 0.6
  • 0.4 (correct)

    • What is the formula to calculate variance?

  • Variance = E(X) - (Σ X2 × P(X))
  • Variance = E(X) + (X2 × P(X))
  • Variance = Σ (X2 × P(X)) - (E(X))2 (correct)
  • Variance = (E(X))2 - Σ (X2 × P(X))

    • What does the expected value represent in probability theory?

  • The most likely outcome
  • The middle value of a probability distribution (correct)
  • The maximum possible outcome
  • The lowest possible outcome

    • If a fair coin is tossed, what is the probability of getting a head?

    <p>1/2</p> Signup and view all the answers

    What is the probability of selecting a male student from the given school?

    <p>0.49</p> Signup and view all the answers

    When rolling a fair die, what is the probability of rolling a number greater than 3?

    <p>1/3</p> Signup and view all the answers

    In the bag of numbered balls example, what is the probability of drawing an odd-numbered ball?

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

    What is the probability of an impossible event occurring?

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

    What is the probability that at least one highly valued accountant is chosen when 4 accounts are selected?

    <p>0.35</p> Signup and view all the answers

    In the merchant's file with 20 accounts, how many delinquent accounts are present?

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

    What is the probability of finding exactly 2 delinquent accounts when 5 accounts are randomly selected for examination?

    <p>0.088</p> Signup and view all the answers

    List the elements of relation R1 on set A = {1, 2, 3, 4} where R1={(x, y): x is divisible by y}.

    <p>{(1,1), (2,1), (2,2), (3,1), (3,3), (4,1), (4,2), (4,4)}</p> Signup and view all the answers

    In the relation S on set A = {1, 2, 3, 4}, what ordered pairs are included if S={(x, y): x + y is even}?

    <p>{(1,1), (2,2), (3,3), (4,4)}</p> Signup and view all the answers

    Is the relation 'R' defined on set A = {1, 2, 3, 4} reflexive?

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

    If a student plays either football or basketball, what is the probability of this event?

    <p>$\frac{4}{5}$</p> Signup and view all the answers

    If 3 men are picked at random from a company of 20, where 5 are graduates, what is the probability that at least one of them is a graduate?

    <p>$\frac{137}{228}$</p> Signup and view all the answers

    An urn contains 7 red and 4 blue balls. If a ball is drawn and replaced, then another ball is drawn, what is the probability of getting one ball of each color?

    <p>$\frac{56}{121}$</p> Signup and view all the answers

    One bag contains 4 white and 2 black balls, while another contains 3 white and 5 black balls. If a ball is drawn from each bag, what is the probability that one ball is white and the other is black?

    <p>$\frac{13}{24}$</p> Signup and view all the answers

    A bag contains 10 books, of which 4 are defective, and another bag contains 7 books, of which 2 are defective. If a book is drawn at random from each bag, what is the probability that both books are non-defective?

    <p>$\frac{3}{7}$</p> Signup and view all the answers

    In a group of 10 people consisting of 3 economists, 4 engineers, 2 statisticians and 1 doctor, what is the probability that a committee of 4 formed from this group has at least one economist?

    <p>$\frac{5}{6}$</p> Signup and view all the answers

    What is the probability that an examinee selected from the group is a MBA degree holder?

    <p>\frac{3}{8}</p> Signup and view all the answers

    What is the probability that an examinee with a score above 60 has a B.Sc degree?

    <p>\frac{1}{2}</p> Signup and view all the answers

    What is the probability that an examinee with a B.A degree has a score below 50?

    <p>\frac{3}{4}</p> Signup and view all the answers

    What is the probability that an examinee with a B.Sc degree has a score above 60?

    <p>\frac{3}{13}</p> Signup and view all the answers

    What is the probability that a manager reaches a wrong decision?

    <p>0.51145</p> Signup and view all the answers

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