To solve this problem, we first need to identify how many face cards and 4s are in a standard deck of 52 cards.
A standard deck has 12 face cards (3 ranks: Jack, Queen, King; each rank has 4 cards) and 4 cards that are numbered 4 (one for each suit: hearts, diamonds, clubs, spades).
Now, we need to calculate the probability of drawing either a face card or a 4.
1. **Total number of favorable outcomes**:
- Number of face cards = 12
- Number of 4s = 4
- Since there are no overlapping cards (no card is both a face card and a 4), we can simply add these numbers together:
Number of favorable outcomes = 12 + 4 = 16
2. **Total number of possible outcomes**:
The total number of cards in a deck is 52.
3. **Calculating the probability**:
The probability, P, of drawing a face card or a 4 is given by the formula:
P(drawing a face card or a 4) = (Number of favorable outcomes) / (Total number of possible outcomes)
Thus, we calculate:
P = 16 / 52
4. **Simplifying the fraction**:
This can be simplified to:
P = 4 / 13
Therefore, the probability of drawing a face card or a 4 from a standard deck of 52 cards is 4/13.