On episode 196 of MythBusters, Kari, Grant, and Tory test "tastes like chicken”. There are 11 plates of fried chicken (C) and 9 plates of fried non-chicken (N) like snake, turtle, etc. numbered from 1 to 20 which are sampled one at a time by blindfolded tasters. An arrangement is an ordered set e.g. CCNNCNNNCNCC...; NCNCNCNCCCC...; etc. A) What is the probability of randomly guessing the correct arrangement if the blind tasters know that there are 11 Cs and 9 Ns? B) With the same knowledge, what is the probability of getting exactly one plate wrong? C) What is the probability of randomly guessing the correct arrangement if the blind tasters do not know how many of the plates are chicken? D) With the same knowledge, what is the probability of getting exactly one plate wrong?

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