What is the probability of drawing a black nine from a standard deck of playing cards?(1 point)

Question

Responses

152
Start Fraction 1 over 52 End Fraction

126
Start Fraction 1 over 26 End Fraction

113
Start Fraction 1 over 13 End Fraction

352

Answer 1

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:

$\frac{1}{26}$.