Kinds=13
Suits=4
Consecutive kinds=10
Five diff. kinds=diff kinds(13C5) * each kinds have four suit( 4^5)=1317888 = Diff kinds + (Flush union Straight)
Flush= Kinds can be anything but all of them should be from same suit=Kinds(13C5) * Suits(4C1)=5148
Straight=consecutive kinds (10C1) * suit can be anything(4^5)=10240
Flush intersection Straight = Same Suit (4C1) * consecutive kinds(10C1)=40
Flush union Straight=5148+10240-40=15348
Diff kinds with neither Flush nor Straight=1317888-15348=1302540
So probability= 1302540/52C5