Let $X = \left\{ ( x , y ) \in \mathbb { Z } \times \mathbb { Z } : \frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 20 } < 1 \right.$ and $\left. y ^ { 2 } < 5 x \right\}$. Three distinct points $P , Q$ and $R$ are randomly chosen from $X$. Then the probability that $P , Q$ and $R$ form a triangle whose area is a positive integer, is
(A) $\frac { 71 } { 220 }$
(B) $\frac { 73 } { 220 }$
(C) $\frac { 79 } { 220 }$
(D) $\frac { 83 } { 220 }$