Some Basic Concepts of Probability and Information Theory - Solutions to Exercises
نویسنده
چکیده
Exercise 1 Consider the rolling of two six-sided dice. Let E1 be the event that the dice land on the same number, and E2 the event that their sum is greater than six. 1. What is the size of E2 (i.e how many outcomes does it contain)? 2. What is E1 X E2? 3. What is the size of E1 Y E2? Solution: 1. Let (x, y) denote both the outcome x of the first die and the outcome y of the second. Then E2 = t(1, 6), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 3), (4, 4), (4, 5), (4, 6) (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)u (1)
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