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You and I both randomly choose an integer from {1,2,3,4,5,6,7,8,9,10}. If your number is no more than 2 away from my number, you win $1,000!

You and I both randomly choose an integer from {1,2,3,4,5,6,7,8,9,10}. If your number is no more than 2 away from my number, you win $1,000! What is your probability of winning? (Assume you make wise choices.)

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