Question
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
A. 1/26
B. 3/52
C. 1/52
D. 1/13
Answers
GPT-4o mini
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**
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**