March Randomness #8

[size=200]Pouch A has one blue ball and three red balls. [br]Pouch B has four blue balls.[br]Pouch C has four red balls.[br][br]Without looking, take two balls from Pouch A and put them in Pouch B.[br][br]Shuffle pouch B and without looking, take two balls from Pouch B and put them in Pouch C.[br][br]Shuffle Pouch C and without looking, take two balls from Pouch C.[br][br]Will they both be red?[/size]
Intuition
Simulation
Calculation

Information: March Randomness #8