  To establish the bond-site duality of explosive percolations in 2 dimension,
the site and bond explosive percolation models are carefully defined on a
square lattice. By studying the cluster distribution function and the behavior
of the second largest cluster, it is shown that the duality in which the
transition is discontinuous exists for the pairs of the site model and the
corresponding bond model which relatively enhances the intra-bond occupation.
In contrast the intra-bond-suppressed models which have no corresponding site
models undergo the continuous transition and satisfy the normal scaling ansatz
as ordinary percolation.
