odds question

[Ricks]

[ QUOTE ]
I get about a 57% chance that a king was dealt to one of the eight people. Here is the calculation for the odds of no one getting dealt a king:

0.434 =(1-2/47)*(1-2/46)*(1-2/45)*(1-2/44)*(1-2/43)*(1-2/42)*(1-2/41)*(1-2/40)*(1-2/39)*(1-2/38)*(1-2/37)*(1-2/37)*(1-2/36)*(1-2/35)*(1-2/34)*(1-2/33)

Have I made an error somewhere?

[/ QUOTE ]

You were correct.

1 - c(45,16)/c(47,16) = 1 - 6.46626423E11/1.503232609E12 =~ 0.57