Question
You are dealt one card from a 52 -card deck. Find the probability that you are dealt a heart
or a non-picture card. 0 of 1
The probability is
.
(Type an integer or a simplified fraction.)
or a non-picture card. 0 of 1
The probability is
(Type an integer or a simplified fraction.)
Ask by Welch Reid. in the United States
Mar 31,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The probability is
.
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Beyond the Answer
To find the probability of being dealt a heart or a non-picture card, let’s break it down. There are 13 hearts in a deck, and there are 40 non-picture cards (10 cards each from hearts, diamonds, clubs, and spades). However, among the non-picture cards, 10 are hearts. So, we must be careful to count only the unique outcomes.
Using the formula for probability:
Where:
-
= being dealt a heart -
= being dealt a non-picture card
So, we have:
-
(probability of getting a heart) -
(probability of getting a non-picture card) -
(probability of getting a heart that is also a non-picture card)
Plugging them into the equation:
So the probability is
.