Question

What is the probability of selecting a 7 or a Jack from a 52-card deck?

Answer 1

To find the probability of selecting a 7 or a Jack from a standard 52-card deck, we can follow these steps:

1. **Count the total number of favorable outcomes**:
- There are 4 sevens in the deck (one from each suit: hearts, diamonds, clubs, and spades).
- There are also 4 jacks in the deck (one from each suit).
- Therefore, the total number of favorable outcomes for selecting either a 7 or a Jack is \(4 + 4 = 8\).

2. **Count the total number of possible outcomes**:
- A standard deck has 52 cards.

3. **Calculate the probability**:
\[
P(\text{7 or Jack}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{8}{52}
\]

4. **Simplify the fraction**:
\[
\frac{8}{52} = \frac{2}{13}
\]

Thus, the probability of selecting a 7 or a Jack from a 52-card deck is \(\frac{2}{13}\).