A card is drawn from a dect of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favorable to E is

Options

A. 4
B. 13
C. 48
D. 51

Explanation

To solve the problem, we need to determine the number of outcomes favorable to the event E, which states that the card drawn is not the ace of hearts.

### Step-by-Step Solution:

1. **Understand the Total Number of Cards**:
A standard deck of cards contains 52 cards.

2. **Identify the Specific Card to Exclude**:
The event E specifies that we want to exclude the ace of hearts. There is only one ace of hearts in the deck.

3. **Calculate the Number of Favorable Outcomes**:
To find the number of outcomes favorable to event E (not drawing the ace of hearts), we subtract the one unfavorable outcome (the ace of hearts) from the total number of cards.
\[ \text{Number of favorable outcomes} = \text{Total cards} - \text{Unfavorable outcomes} \]
\[ \text{Number of favorable outcomes} = 52 - 1 = 51 \]

4. **Conclusion**:
Therefore, the number of outcomes favorable to event E (not drawing the ace of hearts) is 51.

### Final Answer:
The number of outcomes favorable to E is **51**.

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