Question

roll the die twice. what is the probability of rolling a 6 on the 1st roll? an odd number on the 2nd roll?

Answer 1

The probability of rolling a 6 on the 1st roll is $\frac{1}{6}$, since there is only 1 out of 6 sides of the dice that has six pips.

The probability of rolling an odd number is $\frac{1}{2}$, since there are 3 out of 6 sides of the dice that has an odd number of pips. $\frac{3}{6} = \frac{1}{2}$

Then the probablity of both events happening one after another is $\frac{1}{12}$. You have to multiply both probabilities of the events: $\frac{1}{6} * \frac{1}{2} = \frac{1}{12}$