A fair die has six sides, with a number 1,2,3,4,5 or 6 on each of its sides. In a game of dice, the following probabilities are given:

 A fair die has six sides, with a number 1,2,3,4,5 or 6 on each of its sides. In a game of dice, the following probabilities are given:

The probability of rolling two dice and both showing a 1 is 1/36;
The probability of rolling the first die and it showing a 1 is 1/6;
If you roll one die after another, the probability of rolling a 1 on the second die given that you've already rolled a 1 on the first die is 1/6.
Let event A be the rolling a 1 on the first die and B be rolling a 1 on the second die. Are events A and B mutually exclusive, independent, neither, or both? 

Thanks