Conditional Probability: What affect does a condition have on the probability? Let's compare and fi ...

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Conditional Probability: What affect does a condition have on the probability? Let's compare and find out. Example: Let's look at a standard deck of 52 playing cards. No replacement: What is the probability of getting 2 kings assuming that the first one is not replaced? (Note: There are 4 kings in a deck of cards. And a deck of cards has 52 cards.) Answer: 4/52 * 3/51 = 1/13*1/17= 1/221 Replacement: What is the probability of getting 2 kings assuming that the first one is replaced? Answer: 4/52 * 4/52 = 1/13 * 1/13 = 1/169 What difference does it make? Which gives the higher probability? Initial Post: Make up a similar example to the above problem using (a) with replacement and (b) without replacement. You may use playing cards, or a similar scenario, however be sure that you can represent both with and without replacement. Flipping a coin 10 times is not appropriate because it only represents the "without replacement" condition. Do not solve your own problem - that will be done by your classmates. Two Response Posts: You will solve both problem posed by two of your classmates. First copy the problem, then show your work explaining how you worked each problem. Once you have solved the problems compare the results. Which situation is more likely? Does replacement make a significant difference? Do NOT use the numbers in this example post in your post. Please make sure all posts are unique and use different numbers. It is important to go back and read follow up responses from your instructor. Initial post due: Thursday 11:59 pm ET. Reply posts due: Sunday 11:59 PM ET Rubric for grading discussions: Quick View of Discussion Grading Rubric (Please see full details for explanation of criteria below) Criteria Max Score Main Discussion Post Accuracy 20 Analysis and Explanation 30 Writing Standards 10 Classmate Responses (Requires two or more) Response 1 Response in a Substantive Manner 20 Response 2 Response in a Substantive Manner 20 Total 100 Please sign ALL your Discussion posts with the name that you like to be called - it makes it so much easier for the rest of us to address you by your preferred name when we respond. Rubrics