March Randomness #6

[size=200]Two red cards have an A on the back, and two red cards have a B on the back. Two green cards have an A on the back, and one green card has a B on the back. Shuffle the cards and select one red and one green at random.[br]Will both cards have the same letter on the back?[/size]
Intuition
Simulation
[size=150][size=200]Calculation[br][br]Red Card: A1, A2, B1, B2[br]Green Cards: A3, A4, B3[br][br][b]A1,A3 A1,A4[/b] A1,B3[br][b]A2,A3[/b] [b]A2,A4[/b] A2,B3[br]B1,A3 B1,A4 [b]B[/b][b]1,B3[/b][br]B2,A3 B2,A4 [b]B2[/b][b],B3[/b][/size][/size]

Information: March Randomness #6