Asked by Robin Perdue on Jun 04, 2024

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Suppose that the probability of one event is known from the method of equal alternatives, and the probability of a second event is known from intuitive judgment.Can the probability of both events occurring be determined through the operation of conjunction?

A) No, because no operation in probability calculus can be used with events that have probabilities which were established by different methods.
B) No, because conjunction cannot be used with events that have probabilities which were established by different methods.
C) No, because probabilities established by the method of equal alternatives are far more precise than those established by intuitive judgment.
D) Yes, but the resulting probability would be wildly inaccurate.
E) Yes, because the method by which probabilities were established has nothing to do with whether or not they can be conjoined.

Method Of Equal Alternatives

A problem-solving technique that involves systematically comparing different solutions or options.

Intuitive Judgment

The ability to understand or make decisions based on a direct perception of truth, independent of any reasoning process.

Conjunction

In logic and grammar, it refers to the combination of two statements or clauses linked in such a way that both must be true for the combined statement to be true.

  • Compare the calculation methods for probabilities concerning disjunctions and conjunctions in a series of events.
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ZK
Zybrea KnightJun 08, 2024
Final Answer :
E
Explanation :
The method by which probabilities are established (whether through equal alternatives, intuitive judgment, or any other method) does not inherently prevent the use of conjunction (multiplying probabilities) to find the probability of both events occurring. The operation of conjunction in probability calculus is based on the values of the probabilities, not on how those values were determined.