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Introduction to Coding Theory (PowerPoint)

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  • pg 1
									Assignment 1
•   1. In a classical card game, we get 5 cards from a deck
•       of 52. Find the probabilities of:
•      (a) 1-pair
•      (b) 2-pair
•      (c) 3-of-a-kind
•      (d) full house
•      (e) 4-of-a-kind
•      (f) a straight
•      (g) a flush (but not flush straight)
•      (h) a flush straight
•      (i)     nothing


                                                              p2.
•   2. In a bridge game, North and South have total 7 cards
•      of spades (out of 13 spade cards). Find the probabilities
•      of (x, y)’s in the following questions where West holds
•      x cards of spades and East y cards of spades?

•     (a)Pr((x,y) is (0, 6) or (6, 0))
•     (b)Pr((x,y) is (1, 5) or (5, 1))
•     (c)Pr((x,y) is (2, 4) or (4, 2))
•     (d)Pr((x,y) is (3, 3))




                                                              p3.
•   3. From a faculty of six professors, six associate
    professors, ten assistant professors, and twelve
    instructors, a committee of size six is formed
    randomly. What is the probability that there is at
    least one person from each rank on the committee?
    (See hint at #21, p.73 in the text.)




                                                         p4.
•   4. A four-digit number is selected at random. What
    is the probability that its ones place is greater than its
    tens place, its tens place is greater than its hundreds
    place, and its hundreds place is greater than its
    thousands place? Note that the first digit of an n-digit
    number is nonzero.




                                                                 p5.

								
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