Anti-inductive dice

David and Goliath each have a six-sided die. David’s die has the numbers {1, 1, 4, 4, 5, 6}, and Goliath’s die has the numbers {0, 1, 2, 6, 6, 6}. If each of them throws his die n times and announces the total, then Goliath is more likely than David to have the higher total, except when n=4. This surprising phenomenon is discussed in the recent paper Th…