Probability Concepts and Conditional Expectations: practice question
An equity analyst holds a prior probability that Vexley Consumer will beat its next earnings forecast. After the firm unexpectedly announces a price increase, the analyst revises that view. Bayes' formula is most appropriately used to:
- compute the joint probability of two statistically independent events
- compute the expected value of the upcoming earnings surprise
- update the prior probability using the likelihood of the new information
Show answer and explanation
Correct answer: C
Explanation: C is correct: Bayes' formula combines a prior probability with the likelihood of the newly observed event to produce a revised (posterior) probability. A describes the multiplication rule for independent events, where no updating occurs because the conditional probability equals the prior. B confuses probability updating with an expected-value calculation, which weights possible outcomes by their probabilities.
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