How do I do this? What is the probability of rolling a die twice and rolling a 6 the first time and an even number the second time? Is it 1/12, 4/32, 5/32, or Not Given?

The two rolls are independent events so the probability of the two happening is the product of their probabilities.

The probability of a six the first time is 1/6
The probability of an even number another time is 1/2
So the product is 1/12