Question

Use Bayes' rule to find the indicated probability. A company is conducting a sweepstakes, and ships two boxes of game pieces to a particular store. Box A has 3% of its contents being winners, while 2% of the contents of box B are winners. Box A contains 38% of the total tickets. The contents of both boxes are mixed in a drawer and a ticket is chosen at random. What is the probability it came from box A if it is a winner?

          Use Bayes' rule to find the indicated probability.

A company is conducting a sweepstakes, and ships two boxes of game pieces to a particular store. Box A has 3% of its contents being winners, while 2% of the contents of box B are winners. Box A contains 38% of the total tickets. The contents of both boxes are mixed in a drawer and a ticket is chosen at random. What is the probability it came from box A if it is a winner?

Added by Lindsey B.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

06/21/2022

Step 1

- Event B: The ticket is a winner. We are asked to find the probability P(A|B), which is the probability that the ticket came from Box A given that it is a winner. We know the following probabilities: - P(B|A) = 3% = 0.03 (probability of being a winner given Show more…

Show all steps

Thanks for your feedback!

Use Bayes' rule to find the indicated probability. A company is conducting a sweepstakes, and ships two boxes of game pieces to a particular store. Box A has 3% of its contents being winners, while 2% of the contents of box B are winners. Box A contains 38% of the total tickets. The contents of both boxes are mixed in a drawer and a ticket is chosen at random. What is the probability it came from box A if it is a winner?