Jar A has exactly four red buttons and eight blue buttons. Carla then removes the same number of red buttons as blue buttons from Jar A and places them in an empty Jar B. Jar A now has of its original number of buttons. If Carla were now to randomly choose a button from Jar A and a button from Jar B, what is the probability that the two chosen buttons will both be red? Express your answer as a common fraction.
Jar A has exactly four red buttons and eight blue buttons. Carla then removes the same number of red buttons as blue buttons from Jar A and places them in an empty Jar B. Jar A now has of its original number of buttons. If Carla were now to randomly choose a button from Jar A and a button from Jar B, what is the probability that the two chosen buttons will both be red? Express your answer as a common fraction.
I will assume that not all of the buttons from A are put into B
So the jars will each end up with half blue and half red buttons
So the likelihood of a red from each jar is 0.5*0.5=0.25