How does the understanding and application of probability theory contribute to t

How does the understanding and application of probability theory contribute to the effectiveness of business analytics? How can businesses leverage the concepts of probability, including conditional probability and Bayes’ theorem, along with common probability distributions, to effectively measure and manage uncertainty in decision-making processes? Discuss the importance of understanding outcomes, events, and related probabilities, as well as the calculation of expected values, variances, and standard deviations of random variables, in enhancing strategic planning, risk assessment, and operational optimization within various business situations.  Provide examples of how businesses utilize probabilistic approaches and statistical inference techniques to optimize strategies, forecast future trends, and enhance decision-making processes.
Grading Criteria – Refer to the Discussion Forums Grading Rubric Download Discussion Forums Grading Rubric
For full credit on the discussion forums, students must:
make a substantial initial post (500 words minimum) responding to the discussion prompt questions while citing at least two credible sources 
APA 7th Edition format is required for initial discussion posts.
Your two references should be one scholarly and one supportive that further substantiate the significance of your comments.  The scholarly reference should be drawn from reputable academic journals or books, while the supportive reference can be sourced from industry reports, reputable news articles, or credible business publications. Then use those references to explain your thoughts and ideas.