Those formulas do not directly address the question you have. You can get the answer yourself with a little thought and math.
For 0 successes in 9 trials with success prob. = 0.8, that means you fail 9 of 9 times. Fail prob = 0.2. Fail 1 of 1 = 0.2: Fail 2 of 2 = 0.2*0.2 = 0.2^2=0.4 . . . fail 9 of 9 = 0.2^9 =.000000512
For exactly one success, consider the case of 8 fails first and then a success. Prob = (0.2^8) * 0.8 =0.000002048. But there are a total of 9 positions for the success, so the total is 9*(0.2^8)*0.8 =0.000018432. Since you asked for a max of one success,you add the two results together to get 0.000018944.
The best way to do these problems is learn the binomial distribution. There are free calculators on the Internet. You can also use Excel’s BINOMDIST.
If you are looking to show a site is rigged disregard my answer