Question
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You are dealt one card from a 52 -card deck. Find the probability that you are not dealt
a picture card.
The probability is .
(Type an integer or a simplified fraction.)

Ask by Wagner May. in the United States
Mar 31,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The probability of not being dealt a picture card is .

Solution

  1. Total number of cards in a deck: .
  2. Total number of picture cards (Jack, Queen, King in each suit): .
  3. Number of cards that are not picture cards: .
  4. Therefore, the probability of not being dealt a picture card is:

Answered by UpStudy AI and reviewed by a Professional Tutor

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Simplify this solution

The Deep Dive

When you think about a standard 52-card deck, there are 12 picture cards: 4 Jacks, 4 Queens, and 4 Kings. To find the probability of not being dealt a picture card, we first determine how many cards are not picture cards. That would be cards. The probability is therefore the number of non-picture cards divided by the total number of cards, which is or simplified, .
So, the probability is .

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