To determine the probability of selecting a heart from a standard deck of cards, follow these steps:

1. **Identify the total number of cards in the deck**: A standard deck has 52 cards.
2. **Identify the number of hearts in the deck**: There are 13 hearts in a standard deck (one for each rank: Ace through King).
3. **Calculate the probability**: The probability $ P $ of selecting a heart is given by the ratio of the number of hearts to the total number of cards.

$$ P(\text{heart}) = \frac{\text{Number of hearts}}{\text{Total number of cards}} = \frac{13}{52} $$

4. **Simplify the fraction**:

$$ \frac{13}{52} = \frac{1}{4} $$

So, the probability of selecting a heart is $ \frac{1}{4} $ or 0.25.

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To determine the probability of selecting a heart from a standard deck of cards, follow these steps:

1. **Identify the total number of cards in the deck**: A standard deck has 52 cards.
2. **Identify the number of hearts in the deck**: There are 13 hearts in a standard deck (one for each rank: Ace through King).
3. **Calculate the probability**: The probability $ P $ of selecting a heart is given by the ratio of the number of hearts to the total number of cards.

$$ P(\text{heart}) = \frac{\text{Number of hearts}}{\text{Total number of cards}} = \frac{13}{52} $$

4. **Simplify the fraction**:

$$ \frac{13}{52} = \frac{1}{4} $$

So, the probability of selecting a heart is $ \frac{1}{4} $ or 0.25.

Knowee AI · Accepted Answer

To determine the probability of selecting a heart from a standard deck of cards, follow these steps:

1. **Identify the total number of cards in the deck**: A standard deck has 52 cards.
2. **Identify the number of hearts in the deck**: There are 13 hearts in a standard deck (one for each rank: Ace through King).
3. **Calculate the probability**: The probability $ P $ of selecting a heart is given by the ratio of the number of hearts to the total number of cards.

$$ P(\text{heart}) = \frac{\text{Number of hearts}}{\text{Total number of cards}} = \frac{13}{52} $$

4. **Simplify the fraction**:

$$ \frac{13}{52} = \frac{1}{4} $$

So, the probability of selecting a heart is $ \frac{1}{4} $ or 0.25.

A card is selected from the set without looking. What is the probability of selecting a heart?

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