Back to 1.4 Problems on Probability Systems

1.4 Exercise 2

Avg difficulty 2.5

Let Ω be the set of integers 0 through 10. Let A={5,6,7,8}A = \left\{5 , 6 , 7 , 8\right\}, B=B = the odd integers in Ω, and C=C = the integers in Ω which are even or less than three. Describe the following sets by listing their elements.

  1. ABA B
  2. ACA C
  3. ABc∪CA B^{c} \cup C
  4. ABCcA B C^{c}
  5. A∪BcA \cup B^{c}
  6. A∪BCcA \cup B C^{c}
  7. ABCA B C
  8. AcBCcA^{c} B C^{c}

Pfeiffer, Applied Probability, 1.4 Problems on Probability Systems, exercise 2

AI Tutor

Adapted from Applied Probability © 2009 Paul E. Pfeiffer. Licensed under CC BY 3.0. Source: Applied Probability. Imported at revision d7a0420.