You need to be clearer.

I answered this question, so did Alan.

what is the chance of an ace?

I have no idea at this time what your percentages are related to.

Well, you should because those same answers are contained in that long list someone gave you - give or take rounding.

My answers are for the probability that there is one and only one ace in the constructed pack, and secondly that there is at least one ace in the pack.

I'm now convinced that someone is having a laugh, because they are not giving you full information about what this list means. We have always been straight with you and tried to explain the difference between individual probability and that of sequences (and given examples of how that list is worked out), and how it relates to your poker theory.

Alan's reply is very important for understanding your poker theory.

What he is saying is that if you take the deck constructed from the other 52 decks, and choose a card at random, then there is a 1/13 probability it will be an ace just the same as in a standard deck.

(Note, this also works for a deck constructed from a infinite number of decks shuffled together, or if you take a card from a pack, write down its value, replace the card, shuffle, and then pick another card, repeat 52 times.)

There are some other important points which the other forums are not telling you.

- the list you have been given shows the probability (not the actual outcome) is the same for every deck so constructed, so deck skipping has no long run effect.

- the online poker games do not use this method of constructing decks for the games, they use simulators.

If you think the simulator is wrong, you need to take your argument to the gaming board who will investigate as they do testing of these simulators. They are currently asking for input.

http://www.gamblingcommission.gov.uk/Technical-standards.aspxRemember, we are not trying to have a laugh at your expense, just to help you understand probability.