Find the expected value of the following dice rolls. Notation: 2d3 is the sum of 2 three-sided dice; 4d6 is the sum of 4 six-sided dice; 1d20 is 1 twenty-sided die. Assumption is all the dice are fair. 1. E(106) 2. E(3d6) 3. E(2d20) 4. E(4d6 drop the lowest) Example: a roll of 4,2,3,6 is 4+3+6 13 = 5. E(1d6 sixes add and reroll) Example: a roll of a 6, gets a reroll, next is a 5 so the result is 11. Yes you can have 37 sixes in a row.