Question
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.)
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
-
Total number of cards in a deck:
. -
Total number of picture cards (Jack, Queen, King in each suit):
. -
Number of cards that are not picture cards:
. -
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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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
.