; Introduction to Coding Theory (PowerPoint)
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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 (x, y)’s in the following questions where West holds

•     (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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