No they're not entirely correct. If you roll a dice the chances of a single number coming up are exactly 1/6 - the next time you roll that dice the chances of the same number coming up are 1/6. You roll again what are the odds of the same number coming up? You guessed correct - they are the same as the first time you rolled the dice - 1/6 The odds of it coming up never decrease from roll to roll. However the odds of getting another number ie any other number are 5/6 every single roll. The effects are not cumulative. With every roll you have a 16.6% chance of rolling say a 1. It's 16.6% ON EVERY ROLL. Are you likely to keep rolling 1 ' s? No. There are 5 other numbers with an equal chance of being rolled. And put together there is an 83.3% chance you won't roll a 1.