Question
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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.)
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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

  1. A standard deck has cards, and the number of clubs in a deck is .
  2. The number of non-club cards is:
  3. The probability of not drawing a club is the ratio of non-club cards to the total number of cards:
  4. 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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Simplify this solution

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: .

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