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
Your odds would stay the same. The odds of drawing an ace in a single deck are 4/52. The odds of drawing an ace from a double deck are 8/104. Both 4/52 and 8/104 simplify to 1/13, or 7.7%.
To draw one ace, of any suit, from a single deck of cards (without jokers) is 4/52, or 1/13. To do so from 2 decks of cards is 8/104…or 1/13. The odds do not change.
This question has been answered so I’ll move onto roulette:
On a double zero wheel, your odds of hitting a certain number is 1/38. That number hits. Your odds of hitting that number again is still 1/38. Every spin is its own instance.
Ignore the tree. It’s there to confuse you.
Edit: Therefore, never move winning bets. There’s nothing wrong with pressing a winner.
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).
To answer your follow up questions, if the number of cards in the deck go up in direct proportion to the number of copies of a given card in the deck, the odds don’t change. You doubled the size of the deck, but you also doubled the number of copies of each card.
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