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Conditional Probability

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In an experiment, subjects are required to generate a "yes" or "no" decision. The probability of 'Yes' being correct is 50%. The observed probability of yes decisions is 70%. What is the probability that any "Yes"-outcome question will be answered correctly? Illustrate computational details of answer briefly.

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In an experiment, subjects are required to generate a "yes" or "no" decision. The probability of 'Yes' being correct is 50%. The observed probability of yes decisions is 70%. What is the probability that any "Yes"-outcome question will be answered correctly? Illustrate computational details of answer briefly.

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The observed probability of yes decisions is P(A)=0.7 and
the probability of Yes ...

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