A coin is flipped and a six-sided die is rolled. How many total outcomes are possible?

By the counting principle, multiply the number of outcomes for each independent event. The coin has $2$ outcomes and the die has $6$, so the total is $2\cdot6=12$, choice H. You can list them: heads with each of $1$ through $6$, then tails with each of $1$ through $6$. Choice F ($6$) counts only the die. Choice G ($8$) adds $2+6$ instead of multiplying. Choice J ($36$) is $6\cdot6$, the number of outcomes for two dice. Independent stages combine by multiplication, not addition.