[Ricks]

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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?

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A few too many.

(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)= 0.616

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I didn't realize that you were doing this for eight.