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March Randomness #14

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. Will both cards have an A on the back?

Intuition

Simulation

Calculation Red Card: A1, A2, B1, B2 Green Cards: A3, A4, B3 A1,A3 A1,A4 A1,B3 A2,A3 A2,A4 A2,B3 B1,A3 B1,A4 B1,B3 B2,A3 B2,A4 B2,B3