Dice Odds Anchor ChartDice Duel! Compound Probabilities The Rule of "AND" When events are Independent, multiply their probabilities to find the chance of both happening. P(A) × P(B) 1 Path Mapping: Rolling a 4, then an Even Roll 1 START Roll a 4 (1/6) Other (5/6) 4 Roll Even (3/6) Compound 3/36 or 1/12 2 Visual Check: The Sample Space (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) Count the successes! There are exactly 3 out of 36 boxes that follow the path. This confirms our calculation: 1/6 × 3/6 = 3/36.
