There are two possible outcomes for flipping a coin: heads or tails. Then, there is a probability of 1/2 of flipping tails.
There are six possible outcomes for rolling a dice: 1, 2, 3, 4, 5 or 6. Then, there is a probability of 5/6 of rolling a number greater than 1.
The probability of flipping tails and rolling a number greater than 1 is the product of the probabilities of these two events happening independently:
[tex]P(tails,#>1)=\frac{1}{2}\times\frac{5}{6}=\frac{5}{12}[/tex]Therefore, the answer is:
[tex]\frac{5}{12}[/tex]