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What is wrong with the following statements? Please explain.
P(A) = 1.2
P(complement of A) = 0.7 given that P(A) = 0.4
P(A or B) = 0.8 if P(A) = 0.3 and P(B) = 0.4
P(A and B) < 0
Given that P(A) = 0.4, P(B) = 0.52 and P(A and B) = 0.25, calculate the following:
P(A or B)
P(the complement of B)
P(the complement of the event "A or B")
P(A|B)
P(B|A)
Are Events A and B independent? Please use probabilities to justify your answer.
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