A Bet on a Card Deck

I'll offer you a bet.  Each of us shuffles a deck of cards.  Then we each simultaneously turn over our cards one at a time.  Whenever the two cards match, you give me a dollar.  If we get through the entire deck without any matches, I give you three dollars.  We'll do this several times (consider an endless series of games.)

Would you take the bet?  What's the break-even value of a non-matching deck to make it worthwhile?

You can test this with a single deck of cards by shuffling and dealing against a predefined order, such as Ace-King in each suit.

Source: Original.

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