The probability of rolling a 6 on the 1st roll is [tex] \frac{1}{6} [/tex], since there is only 1 out of 6 sides of the dice that has six pips.
The probability of rolling an odd number is [tex] \frac{1}{2} [/tex], since there are 3 out of 6 sides of the dice that has an odd number of pips. [tex] \frac{3}{6} = \frac{1}{2}[/tex]
Then the probablity of both events happening one after another is [tex] \frac{1}{12} [/tex]. You have to multiply both probabilities of the events: [tex] \frac{1}{6} * \frac{1}{2} = \frac{1}{12}[/tex]