For the Decisional Diffie-Hellman (DDH) assumption we know that:
Given $g^a$ and $g^b$ for uniformly and independently chosen $a,b \in Z_p$ the value of $g^{ab}$ looks like a random value in group $\mathbb{G}$.
For the Decisional Bilinear Diffie-Hellman (DBDH) assumption we know that:
In a group $\mathbb{G}_0$ of prime order $p$, let $a,b,c \in \mathbb{Z}_p$ be chosen at random and $g$ be a generator of $\mathbb{G}_0$. The adversary when given $(g,g^a,g^b,g^c)$ must be able to distinguish a valid tuple $e(g,g)^{abc} \in \mathbb{G}_T$ from a random element $R \in \mathbb{G}_T$.
I cannot clearly understand the difference between both. Can someone state the difference of each and when to consider each one. I know that DBDH is used when considering pairings but I am still confused about the difference of both.