Two fair coins are to be tossed once. For each head that results, one fair die is to be rolled. What is the probability that the sum of the die rolls is odd? ( Note that if no die is rolled the sum is 0)

I could think of the cases

HH the sum to be odd is 18/36

HT one die rolled 3/6 is odd

TH one die rolled 3/6 is odd

TT

I'm stuck from here....

Vicky.

My knowledge of probability is very basic so could this please be explained as easy as possible?