a problem

One day, a friend approaches you with 2 decks of standard 52 cards. He tells you, "I want to make you a bet. I'm going to shuffle both deck of cards thoroughly. Then, I'm going to turn over the cards from the decks simultaneously, one by one. In other words, I'll turn over the first cards of each deck simultaneously. Then, I'll turn over the next cards simultaneously. I'll continue doing this, until I've finished turning over all the cards in the decks."


"Now, my offer is this. I'll give you 3:2 odds that at no time while I'm revealing the cards, will 2 of the EXACT same card fall down simultaneously. In other words, you give me $2. If I get through the whole deck without any two cards falling identically, then I'll pay you $3. But, if 2 cards fall at the same time, and they're identical, I win and keep your money."


Should you accept this bet?