Answer:
The probability that the last card dealt is an ace is [tex]\frac{1}{13}[/tex].
Step-by-step explanation:
Given : A deck of ordinary cards is shuffled and 13 cards are dealt.
To find : What is the probability that the last card dealt is an ace?
Solution :
There are total 52 cards.
The total arrangement of cards is 52!.
There is 4 ace cards in total.
Arrangement for containing ace as the 13th card is [tex]4\times 51![/tex].
The probability that the last card dealt is an ace is
[tex]P=\frac{4\times 51!}{52!}[/tex]
[tex]P=\frac{4\times 51!}{52\times 51!}[/tex]
[tex]P=\frac{4}{52}[/tex]
[tex]P=\frac{1}{13}[/tex]
Therefore, the probability that the last card dealt is an ace is [tex]\frac{1}{13}[/tex].
