Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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4. Let A and B be sets in a universe U. Consider the following two statements: i. P(AU B) ii. P(An B) = P(A)n P(B) Only one of these statements is always true. Decide which one it is, and prove it. Also give a counterexample to show that the other statement is false. P(A) U P(B)
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Transcribed Image Text:4. Let A and B be sets in a universe U. Consider the following two statements: i. P(AU B) ii. P(An B) = P(A)n P(B) Only one of these statements is always true. Decide which one it is, and prove it. Also give a counterexample to show that the other statement is false. P(A) U P(B)
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