# probability that last card dealt in poker hand is an ace

• Jul 5th 2009, 09:59 PM
morganfor
probability that last card dealt in poker hand is an ace
A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace? Is it still 4/52? Thanks!
• Jul 5th 2009, 11:21 PM
arze
we'll first have to calculate the probablity that one of the 13 cards is an ace, then the probability that it will be dealt last.
• Jul 6th 2009, 01:49 AM
Unenlightened
Really?

Is it not just the same as selecting a card at random and seeing if it is an ace?
• Jul 6th 2009, 03:18 AM
arze
Quote:

Originally Posted by Unenlightened
Really?

Is it not just the same as selecting a card at random and seeing if it is an ace?

we have to consider that only 13 of the shuffled cards are dealt, so there is even a probability that none of the dealt cards are aces. therefore, we must consider the probability of an ace being among the dealt cards, then the probability that it is dealt last.
• Jul 6th 2009, 06:22 AM
awkward
Quote:

Originally Posted by morganfor
A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace? Is it still 4/52? Thanks!

In the absence of any additional information (such as knowledge of the number of aces dealt previously), the probability that the last card dealt will be an ace is 4/52.
• Jul 6th 2009, 06:26 AM
CaptainBlack
Quote:

Originally Posted by morganfor
A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace? Is it still 4/52? Thanks!

Yes.

CB