The probably of NOT hitting a 6 value even after six throws is: (5/6)^6 = 0.335 For the original question: (255/256)^256 = 0.367 so yes, you'll succeed in 6

The probably of NOT hitting a 6 value even after six throws is: (5/6)^6 = 0.335 For the original question: (255/256)^256 = 0.367 so yes, you'll succeed in 63.3% of the cases.