If you throw a 6 with your first throw of a die, is there more or less chance of throwing another 6 on your second throw?

The probability will be the same on each roll.
P(6) = 1/6 no matter how many times you roll the die.

Theres a less chance. 6,1 and 2 are the hardest one to get. Because they are the lowest numbers and the highest numbers so the dice won't always land on the number twice. And btw it depends on who is rolling it.