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1) If A and B are two independent events with P(A) = 0.3 and P(B) = 0.1, then A and B are also mutually exclusive,

1) If A and B are two independent events with P(A) = 0.3 and P(B) = 0.1, then A and B are also mutually exclusive, and therefore P(A or B) = 0.4 .

2) Suppose that A and B are events with P(A) = 0.4, P(B) = 0.2, and P(A and B) = 0.2. What is the probability that B will occur, if A occurs?

3) Suppose that A and B are events with P(A) = 0.3 and P(B) = 0.4. Furthermore, if A happens, then B must also happen. What is P(A or B)?

4) Suppose that A and B are mutually exclusive, that P(A) = 0.7, and that P(B) = 0.2. Which of the following is true?

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