A standard deck of playing cards has 52 cards total, consisting of 4 suits: hearts, diamonds (both red), and clubs, spades (both black). The black suits are clubs and spades, and each suit has one nine card.
There are 2 black nines in the deck: the nine of clubs and the nine of spades.
To find the probability of drawing a black nine, you can use the formula for probability:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case:
- Number of favorable outcomes (black nines) = 2
- Total number of outcomes (total cards) = 52
So the probability of drawing a black nine is:
\[ \text{Probability} = \frac{2}{52} = \frac{1}{26} \]
Thus, the correct response is:
\(\frac{1}{26}\).