Guanyu is a ride-share driver. On a good day he can make about 12 coins But on a bad day, he can only make about 6. Suppose that good days happen with a probablity 2/3 and bad days happen with a probability 1/3. He wants to save 1000 coins for a project and he wants to start from today. Determine the probablity that he can make a total of at least 1000 coins by the end of the 100-th day from today.