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Back to 3.3 Two Basic Rules of Probability

3.3 Exercise 6

Avg difficulty 2.5

Let: M = math class, S = speech class, M|S = math given speech

  1. What is the probability that Felicity enrolls in math and speech?
    Find P(M AND S) = P(M|S)P(S).
  2. What is the probability that Felicity enrolls in math or speech classes?
    Find P(M OR S) = P(M) + P(S) - P(M AND S).
  3. Are M and S independent? Is P(M|S) = P(M)?
  4. Are M and S mutually exclusive? Is P(M AND S) = 0?

OpenStax Introductory Statistics 2e, 3.3 Two Basic Rules of Probability, exercise 6

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Adapted from Introductory Statistics 2e © 2023 Rice University. Licensed under CC BY 4.0. Source: Introductory Statistics 2e. Imported at revision 50ec917.