Question
You are dealt one card from a 52-card deck. Find the probability that you are not deatt an ace,
Ask by Pritchard Barnett. in the United States
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of not being dealt an ace is
.
Solution
To find the probability that you are not dealt an ace from a standard 52-card deck, we can follow these steps:
-
Identify the total number of outcomes: In a standard deck, there are 52 cards.
-
Identify the number of favorable outcomes: There are 4 aces in a deck. Therefore, the number of cards that are not aces is:
-
Calculate the probability: The probability
of not being dealt an ace is given by the ratio of the number of favorable outcomes to the total number of outcomes: -
Simplify the fraction:
Thus, the probability that you are not dealt an ace is
.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg


Beyond the Answer
In a standard 52-card deck, there are 4 aces. Therefore, there are 52 - 4 = 48 cards that are not aces. To find the probability of not being dealt an ace, you would divide the number of non-ace cards by the total number of cards. So, the probability is
, which simplifies to
. You’ve got a great shot at avoiding those aces!
In games of chance, understanding probabilities can lead to more strategic play. When you realize that the odds are in your favor for cards that aren’t aces—like during poker or blackjack—you can better manage your bets. Use this knowledge to make informed decisions and improve your gameplay, while remembering that luck can still play a huge role!