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.

Yes, there is a 1/6 chance each time. But for it to occur twice in a row, there is a 1/36 chance. Not 1 in 6

No you are not understanding. The odds of any number being rolled on each individual dice throw is static. It makes no odds how many times you roll. The chances of you getting a particular number are the same on every throw.