Question
You are dealt one card from a 52 -card deck. Find the probability that you are not dealt
a club.
22 points
The probability is
. (Type an integer or a fraction. Simplify your answer.)
Save
You are dealt one card from a 52 -card deck. Find the probability that you are not dealt |
a club. |
22 points |
The probability is
|
Save |
Ask by Flynn Harmon. in the United States
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability of not drawing a club is
.
Solution
- A standard deck has
cards, and the number of clubs in a deck is . - The number of non-club cards is:
- The probability of not drawing a club is the ratio of non-club cards to the total number of cards:
- To simplify
, we divide both the numerator and the denominator by their greatest common divisor, which is :
Thus, the probability is
.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Mind Expander
To find the probability that you are not dealt a club, we first need to understand the total number of clubs in a standard 52-card deck. There are 13 clubs in the deck. This means there are
cards that are not clubs.
So, the probability of being dealt a card that is not a club is given by the ratio of the number of non-club cards to the total number of cards:
Next, we simplify the fraction
:
So, the probability that you are not dealt a club is
.
Now plug that into the box:
.