One card is selected from a deck of cards. Find the probability of selecting a black card or a queen.

1/26

There are 26 black card including two queens. Adding the two red queens, there are 28 cards out of a deck of 52 cards.

What is the probability of drawing one of the 28 cards?

To find the probability of selecting a black card or a queen, we need to determine the number of favorable outcomes (black cards or queens) and the total number of possible outcomes.

There are 26 black cards in a standard deck (13 spades, 13 clubs), and there are 4 queens (one of each suit).

So, the number of favorable outcomes is 26 (number of black cards) + 4 (number of queens) - 2 (double counting the queen of spades, which is already counted as a black card) = 28.

The total number of possible outcomes is the number of cards in the deck, which is 52.

Therefore, the probability of selecting a black card or a queen is 28/52, which simplifies to 7/13.

So, the probability is 7/13.

To find the probability of selecting a black card or a queen, we need to determine the total number of favorable outcomes and the total number of possible outcomes.

Total number of favorable outcomes:
There are 26 black cards in a standard deck of 52 playing cards (clubs and spades are black). Additionally, there are 4 queens in the deck. However, we need to be careful not to count the queen of spades and queen of clubs twice, as they are both black cards and also queens. So, we subtract 2 from the total count of queens. Therefore, the total number of favorable outcomes is 26 + 4 - 2 = 28.

Total number of possible outcomes:
A standard deck of cards contains 52 cards.

Now, we can use the formula for probability:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

Substituting the values, we get:

Probability = 28 / 52

Simplifying the fraction, we get:

Probability = 7 / 13

Therefore, the probability of selecting a black card or a queen is 7/13.