What is the probability of an odd sum? - 95143

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Two numbers are randomly drawn from (1, 2, 3, ..., 10) with replacement and added together. What is the probability of an odd sum?
Solution Description

Since the two numbers are drawn with replacement, there are 10 choices for the first number and 10 choices for the second number. Thus, there are 100 pairs of numbers.

Sample space is {(1, 1), (1, 2), (1, 3) … (10, 10)