Question

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

Answer 1

A standard deck of playing cards contains 52 cards, with 26 black cards (spades and clubs) and 26 red cards (hearts and diamonds). In the black cards, there are two black nines: one from the clubs and one from the spades.

To calculate the probability of drawing a black nine, you can use the formula:

\[
\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}
\]

Here, the number of favorable outcomes (black nines) is 2, and the total number of outcomes (total cards in the deck) is 52.

Thus, the probability is:

\[
\text{Probability} = \frac{2}{52} = \frac{1}{26}
\]

So, the probability of drawing a black nine from a standard deck of playing cards is \(\frac{1}{26}\).