Use Bayes's Rule to Find the Indicated Probability

question 36

Multiple Choice

Use Bayes's rule to find the indicated probability.
-A person must select one of three boxes, each filled with clocks. The probability of box A being selected is 0.33, of box B being selected is 0.17, and of box C being selected is 0.5. The probability of Finding a red clock in box A is 0.2, in box B is 0.4, and in box C is 0.9. A box is selected. Given that
The box contains a red clock, what is the probability that box A was chosen?

• A)0.066
• B)0.33
• C)0.133
• D)0.113

---

Definitions:

Training

The process of enhancing the skills, capabilities, and knowledge of employees for doing a particular job.

Future-oriented

Relates to strategies or perspectives that focus on anticipations, trends, and planning for long-term future developments.

Technological Change

The innovation and adoption of new technologies that modify the way goods or services are produced, distributed, or consumed.

Globalization

The process by which businesses or other organizations develop international influence or start operating on an international scale, leading to increased connections among the world's economies, cultures, and populations.