Problem 1440
You have a box of counting numbers from 1 to 7 (inclusive). You select one number from the box and place it back in the box. You repeat this process by picking a number again. What is the probability that the ordered pair of numbers selected does NOT sum to a number divisible by three. It is important to note that picking a 2 first and 3 second is a different pair from picking a 3 first and 2 second.
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