Question
upstudy study bank question image url

A player is dealt 4 cards from a standard 52 -card deck. Determine the probability of being dealt three of a kind (such as three aces or three kings) by answering questions a through d.
a) How many ways can 4 cards be selected from a 52 -card deck?
There are ways that 4 cards can be selected from a 52 -card deck.
(Type a whole number.)

Ask by Delgado Herrera. in the United States
Mar 25,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

There are 270,725 ways to select 4 cards from a 52-card deck.

Solution

The number of ways to choose 4 cards from a 52‑card deck is determined by the combination formula:
There are ways that 4 cards can be selected from a 52‑card deck.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

The Deep Dive

The total number of ways to select 4 cards from a 52-card deck can be calculated using the combination formula . Plugging in and , we find the number of combinations to be 270725.
So, there are 270725 ways that 4 cards can be selected from a 52-card deck.
Did you know that the game of poker can be traced back to the 10th century in China? It was a complex card game that evolved into many versions over the centuries, leading us to the popular versions we know today, like Texas Hold’em!
Practical applications of understanding probabilities extend beyond gaming. For example, in finance, professionals use probabilities when assessing risk and return on investments. Understanding these concepts can vastly improve decision-making and predicting outcomes!

Related Questions

Latest Probability Questions

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