Illustrate the distributive law, An(BuC)=(AnB)u(An C), by means of the Venn diagram. Description Mutually exclusive events A and B (no common elements) B is a subset of A (all elements of B are included in A) Union of A and B (all elements that are in either A or B) Intersection of A andB (all elements in both A and B) Difference between A and B (elements in A but not in 8) Complementary set A (elements not in A) Mathematical expression ANB=0 BC A AUB Soph A N B A-B Ā= S-A Fig. 1.4 AMB (a) B Venn diagram Set operations in (c) Fig. 1.5 Example 1.3 S (d)

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A: A) From the Venn diagram n(S)=5+4+10+6=25And n(B)=4+10=14So, P(B)=n(B)n(S)=1425

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A: Definition of Mutually exclusive events

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