If I add two decks together and then draw a card, do my odds of drawing a specific card increase or decrease as compared to drawing from a single deck?

Question

To be more clear, forgive my garbled header, say I want to draw an ace of any suit from a deck of cards. Would my odds increase or decrease if I were to try and draw it from two decks mixed together instead of one?

What affects the outcome more, the number of cards in the deck, or the number of copies of said card?

In: Mathematics

Answer 1

The odds don’t change, like /u/stupv pointed out. If you want an ace from a single deck, it’s a 4/52 chance (1/13). If you want an ace out of two combined decks, it’s 8/104 (still 1/13).

To change the odds of an ace, you’d have to reduce the amount of other, non-ace cards. Lets say you removed all 8 of the 2’s in that combined deck. The chances for an ace would become 8/96 (1 in 12).