====== Initiative roll probabilities ====== \\ When rolling Initiative, you roll the dice and count the number of faces that show a 6. The table below gives the probabilities for outcomes given the number of dice rolled on the check \\ ^Dice Rolled^At least 1^At least 2^At least 3^At least 4^At least 5^Average Roll^ |4d6 | 51.8%| 13.2%| 1.6%| 0.1%| | 0.67| |5d6 | 59.8%| 19.6%| 3.6%| 0.3%| | 0.88| |6d6 | 66.5%| 26.3%| 6.2%| 0.9%| 0.1%| 1.00| |7d6 | 72.1%| 33.0%| 9.6%| 1.8%| 0.2%| 1.16| |8d6 | 76.7%| 39.5%| 13.5%| 3.1%| 0.5%| 1.33| |9d6 | 80.6%| 45.7%| 17.8%| 4.8%| 0.9%| 1.50| |10d6| 83.9%| 51.6%| 22.5%| 7.0%| 1.6%| 1.67| |11d6| 86.5%| 56.9%| 27.3%| 9.6%| 2.5%| 1.83| |12d6| 88.8%| 61.9%| 32.3%| 12.5%| 3.6%| 2.00| |13d6| 90.7%| 66.4%| 37.2%| 15.8%| 5.1%| 2.16| |14d6| 92.2%| 70.4%| 42.1%| 19.4%| 6.9%| 2.32| |15d6| 93.5%| 74.0%| 46.8%| 32.2%| 9.0%| 2.49| |16d6| 94.6%| 77.3%| 51.3%| 27.1%| 11.3%| 2.65| |17d6| 95.5%| 80.2%| 55.7%| 31.1%| 14.0%| 2.82| |18d6| 96.2%| 82.7%| 59.7%| 35.2%| 16.8%| 2.98|