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One card is randomly selected from a deck of cards. Find the odds in favor of drawing a
heart.
The odds in favor of drawing a heart are . (Simplify your answers.)

Ask by Nguyen Macdonald. in the United States
Mar 31,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The odds in favor of drawing a heart are .

Solution

  1. A standard deck contains 52 cards and there are 13 hearts.
  2. The odds in favor of drawing a heart are given by the ratio of the number of favorable outcomes to the number of unfavorable outcomes. The number of unfavorable outcomes is the total number of cards minus the number of hearts: .
  3. Therefore, the odds in favor of drawing a heart are
  4. This ratio simplifies by dividing both numbers by 13:
The odds in favor of drawing a heart are .

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Bonus Knowledge

In a standard deck of 52 playing cards, there are 13 hearts. This means there are 39 cards that are not hearts. The odds in favor of drawing a heart are the ratio of the number of hearts to the number of non-hearts. Therefore, the odds in favor of drawing a heart are . When simplified, this reduces to .
So, the final answer is: The odds in favor of drawing a heart are .

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