Question
upstudy study bank question image url

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:
  1. Identify the total number of outcomes: In a standard deck, there are 52 cards.
  2. Identify the number of favorable outcomes: There are 4 aces in a deck. Therefore, the number of cards that are not aces is:
  3. 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:
  4. Simplify the fraction:
Thus, the probability that you are not dealt an ace is .

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

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!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy