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 to 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

Step-by-step solution

It is given that, Ravi and Rashmi are each holding 2 red cards and 2 black cards (all four red and all four black cards are identical). Let Ravi picks a Red card from Rashmi and Rashmi picks black card from Ravi and in second time also Ravi picks a red card from Rashmi and Rashmi picks black card from Ravi, then finally Ravi have four red cards and Rashmi have four black cards, then probability of such event is C 1 2 C 1 4 × C 1 2 C 1 5 × C 1 1 C 1 4 × C 1 1 C 1 5 = 4 400 = 1 100 Similarly, the probability if at th