I have 3 urns.

urn1 contains 2 white balls
urn2 contains 1 white, 1 black ball
urn3 contains 2 black balls

Twice I randomly draw a ball and put it back in the same urn.


is this sample space correct?

{1WW, 2WW, 2WB , 2BW, 2BB, 3BB}