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

1. **Identify the total number of cards in a deck**: A standard deck of cards has 52 cards.

2. **Identify the number of hearts in the deck**: There are 13 hearts in a standard deck (Ace through King).

3. **Calculate the probability**: The probability $ P $ of an event is given by the formula:
$$
P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
$$

In this case, the number of favorable outcomes is the number of hearts, which is 13, and the total number of possible outcomes is the total number of cards, which is 52.

4. **Substitute the values into the formula**:
$$
P(\text{heart}) = \frac{13}{52}
$$

5. **Simplify the fraction**:
$$
\frac{13}{52} = \frac{1}{4}
$$

Therefore, the probability of selecting a heart from a deck of cards is $ \frac{1}{4} $ or 0.25.

Question

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

1. **Identify the total number of cards in a deck**: A standard deck of cards has 52 cards.

2. **Identify the number of hearts in the deck**: There are 13 hearts in a standard deck (Ace through King).

3. **Calculate the probability**: The probability $ P $ of an event is given by the formula:
   $$
   P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}
   $$

In this case, the number of favorable outcomes is the number of hearts, which is 13, and the total number of possible outcomes is the total number of cards, which is 52.

4. **Substitute the values into the formula**:
   $$
   P(\text{heart}) = \frac{13}{52}
   $$

5. **Simplify the fraction**:
   $$
   \frac{13}{52} = \frac{1}{4}
   $$

Therefore, the probability of selecting a heart from a deck of cards is $ \frac{1}{4} $ or 0.25.

Knowee AI · Accepted Answer