once the cards are shuffled, arent the odds just the same

[emp1346]

[ QUOTE ]
0%, because once you've removed the A [img]/images/graemlins/spade.gif[/img] there is no A [img]/images/graemlins/spade.gif[/img] left in the deck.

[/ QUOTE ]

i'm pretty sure you're A) missing the question and B) wrong...

first of all, read the original question and you'll see that this is obviously with replacement...

secondly, and pay attention to this one, if you draw the A[img]/images/graemlins/spade.gif[/img] and replace it, and truly shuffle the deck to the point that it is random again and independent of the previous draw / shuffle, the odds of drawing the A[img]/images/graemlins/spade.gif[/img] is the same every time...

it should theoretically work the same as independent trials...