Box A has exactly four red buttons and eight blue buttons. Jack then removes the same number of red buttons as blue buttons from Box A and places them in an empty Box B. Box A now has 2/3 of its original number of buttons. If Jack were now to randomly choose a button from Box A and a button from Box B, what is the probability that the two chosen buttons will both be red? (Expressed in a common fraction)

Chill Oct 7, 2020