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True or False
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Let A , B , and C be events associated with the same probabilistic model (i.e., subsets of a common sample space), and assume that P(C)>0 .
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The statement is: Let A, B, and C be events associated with the same probabilistic model, and assume that P(C) > 0.
The question is: True or False?
To determine the answer, we need to analyze the statement.
The statement is discussing events A, B, and C in a probabilistic model. It also mentions that P(C) is greater than 0, which means the probability of event C occurring is not zero.
Based on this information, we can conclude that the statement is true.
Therefore, the answer is: True.
To correctly answer this question, you need to determine whether the given statement is true or false. The statement states: "Let A, B, and C be events associated with the same probabilistic model, and assume that P(C) > 0."
To solve this, consider the following:
1. If P(C) > 0, it means that the probability of event C occurring is greater than zero.
2. Now, let's analyze the statement. It says that A, B, and C are events associated with the same probabilistic model. This means that A, B, and C are subsets of a common sample space.
3. The statement does not provide enough information about events A and B. Therefore, we cannot determine their relationship to event C based on the given information.
4. However, if we assume that events A and B are unrelated to event C, then the statement becomes true. Even if A and B do not occur, event C can still have a non-zero probability. In other words, the probability of C occurring is not dependent on the occurrence of A or B.
Therefore, the answer to this question is true, assuming that events A and B are unrelated to event C. However, without further information about A and B, we cannot definitively determine the relationship between them based on the given information.