The 2 dice are six-sided and the quarter is a coin with head and tail.
The probability that you will roll a sum of 7 can be calculated below
Rolling a sum of 7 can be
(1, 6)(2, 5)(3, 4)(4, 3)(5, 2)(6, 1)
[tex]p(\text{ sum of 7)=}\frac{favorable\text{ outcome}}{\text{total outcome}}=\frac{6}{36}=\frac{1}{6}[/tex]The probability of flipping a head can be calculated below
[tex]p(H)=\frac{1}{2}[/tex]Therefore,
[tex]p(\text{ sum of 7 and a head)=}\frac{1}{6}\times\frac{1}{2}=\frac{1}{12}[/tex]