You and I both randomly choose an integer from {1,2,3,4,5,6,7,8,9,10}. Now instead of choosing the integers, you can I both randomly choose a real number in [1,10]. And the rule is still that, if your number is no more than 2 away from my number, you win. Now what is your probability of winning? Part A. 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.) Already Answered! Part B. The one I need help with: Let's change the game a little. Now instead of choosing the integers, you can I both randomly choose a real number in [1,10]. And the rule is still that, if your number is no more than 2 away from my number, you win. Now what is your probability of winning? (Assume you still make wise choices.)