Thanks for laying out the probabilities clearly. Let's summarize the calculations: ### Calculations for the Probability of Dragons Winning the Series: 1. **Winning two out of the next three games:** - There are 3 ways to choose which game they lose (C(3,1)). - The probability of this scenario is $$3 \times 0.60 \times (0.60 + 0.10) \times (0.60 + 0.10 - 0.10) \times (1 - 0.60 - 0.10) = 0.216$$. 2. **Winning all three remaining games:** - The probability of winning the first game is 0.60. - If they win the first game, the probability of winning the second game increases by 10% to 0.70. - If they win the second game, the probability of winning the third game increases by another 10% to 0.80. - So, the probability of winning all three remaining games is $$0.60 \times 0.70 \times 0.80 = 0.336$$. Now, let's sum up these probabilities to find the overall probability of the Dragons winning the series: $$0.216 + 0.336 = 0.552$$ So, the Dragons have a **55.2%** chance of winning the best of five series against the Pugs. Thank you for providing such a detailed breakdown