Question

Which of the following statements is false? A.)If A and B are any two events defined on a sample space S of an experiment such that p(A) = p(B) = 0.8 and (A union B) = S, then p(A union B) = 1 B.)If A and B are two independent events defined on a sample space S of an experiment, then p(A/B) = p(A). C.)If A and B are any two events defined on a sample space S of an experiment, then p(A and B) = p(A).p(B) D.)If A and B are two disjoint events defined on a sample space S of an experiment, then p(A union B) = p(A)+ p(B).

          Which of the following statements is false?
A.)If A and B are any two events defined on a sample space S of an experiment such that p(A) = p(B) = 0.8 and (A union B) = S, then p(A union B) = 1
B.)If A and B are two independent events defined on a sample space S of an experiment, then p(A/B) = p(A).
C.)If A and B are any two events defined on a sample space S of an experiment, then p(A and B) = p(A).p(B)
D.)If A and B are two disjoint events defined on a sample space S of an experiment, then p(A union B) = p(A)+ p(B).
        
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Added by Chad S.

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Which of the following statements is false? A.)If A and B are any two events defined on a sample space S of an experiment such that p(A) = p(B) = 0.8 and (A union B) = S, then p(A union B) = 1 B.)If A and B are two independent events defined on a sample space S of an experiment, then p(A/B) = p(A). C.)If A and B are any two events defined on a sample space S of an experiment, then p(A and B) = p(A).p(B) D.)If A and B are two disjoint events defined on a sample space S of an experiment, then p(A union B) = p(A)+ p(B).
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Transcript

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00:01 Which are the following statements about two events, any two events, a and b is true.
00:06 Probably a and b or b implies events a and b are independent.
00:15 Probably a or b equals one implies events a and b are mutually exclusive...
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