KVPY 2019 SB SX Exam Previous Papers

Ravi and Rashmi are each holding 2 red cards and 2 black cards (all four red and all four black cards are identical). Ravi picks a card at random from Rashmi, and then Rashmi picks a card at random from Ravi.
This process is repeated a second time. Let p be the probability that both have all 4 cards of the same colour. Then p satisfies