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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.

Guest Jun 17, 2018
 #1
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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 

Melody  Jun 17, 2018

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