There are 2 ways to flip a coin and 6 ways to roll a die. So there are 2*6 = 12 ways to do a combination of both.
There are 3 ways to roll a four or higher (4,5,6) and only one way to get heads. So there are 3*1 = 3 ways to get a combo we want (heads+some number 4 or larger)
In summary so far: there are 3 ways to get what we want out of 12 total
Divide the two values 3 and 12 to get: 3/12 = (3*1)/(3*4) = 1/4
Answer: Choice D) 1/4