Drinking games lead to question my probability, meh

[jkkkk]

4 random people sitting at a table, Px= Probability of the amount of left handed people at the table.

p0 = .6568

p1 = .2916

p2 = .0486

p3 = .0036

p4 = .0001

The probability that at any random table in the UK where 4 people are sat are all left handed = 1000th?

(assuming that the probability of a person being left handed is .1)