What is the probability of drawing a black nine from a standard deck of playing cards?

A. 1/26
B. 3/52
C. 1/52
D. 1/13

1 answer

A standard deck of playing cards has 52 cards in total, consisting of 4 suits: hearts, diamonds, clubs, and spades. Each suit has 13 cards, including one nine.

In a standard deck:

  • The black suits are clubs and spades.
  • Each of these black suits contains one nine: the nine of clubs and the nine of spades.

Thus, there are 2 black nines in the deck.

To find the probability of drawing a black nine, we use the formula for probability:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{2}{52} = \frac{1}{26} \]

Therefore, the probability of drawing a black nine from a standard deck of playing cards is:

A. 1/26