Adv Probability Question

picrazy1010

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Aug 30, 2021
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You have a set of 52 cards, where each card comes in one of 4 distinct colors (blue, green, red, yellow) and has written on it one of 13 distinct values (the integers from 1 through 13, inclusive), with each value0color pair appearing exactly once. You lay all 52 cards in a single row in some random order. The “distinct double count” is defined as the maximum number of non-overlapping consecutive pairs of cards, where each pair has the same number written on both cards. (For example, the sequence “3 3 3” has a distinct double count of 1, and the sequence “3 3 3 3” has a distinct double count of 2). The expected value of the distinct double count can be written in the form A/B, where A and B are relatively prime integers. Compute A + B.
 

mmm4444bot

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Guidelines Summary said:
Simply posting an exercise statement without showing work or asking specific questions is not enough for us to help you quickly. As tutors, we need clues about parts you already understand versus what you find confusing, so we can determine where to begin helping you. The sooner you show efforts, the sooner we can get to the heart of the matter.
Where in this exercise did you become stuck? Please explain why. Thank you!

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