Chapter 2 Probability - 2.2 Sample Spaces and the Algebra of Sets - Questions - Page 25: 32

a)We verified that the complement of their intersection is the union of their complements: \[{{(A\cap B)}^{C}}={{A}^{C}}\cup {{B}^{C}}\] b)We verified that the complement of their union is the intersection of their complements: \[{{(A\cup B)}^{C}}={{A}^{C}}\cap {{B}^{C}}\].

a)We verified that the complement of their intersection is the union of their complements: \[{{(A\cap B)}^{C}}={{A}^{C}}\cup {{B}^{C}}\] b)We verified that the complement of their union is the intersection of their complements: \[{{(A\cup B)}^{C}}={{A}^{C}}\cap {{B}^{C}}\].