.If a card is drawn from a pack of cards, find the probability that the card drawn is an honour


In a standard deck of 52 playing cards, an "honour" card typically refers to the face cards, which are the Jack, Queen, King, and Ace in each of the four suits (hearts, diamonds, clubs, and spades).

Let's count the total number of honour cards:

- There are 4 suits (hearts, diamonds, clubs, spades).
- Each suit has 4 honour cards (Jack, Queen, King, Ace).

Therefore, the total number of honour cards is:

\[
4 \text{ suits} \times 4 \text{ honour cards per suit} = 16 \text{ honour cards}
\]

Now, the probability of drawing an honour card from a standard deck of 52 cards can be calculated by dividing the number of honour cards by the total number of cards:

\[
\text{Probability} = \frac{\text{Number of honour cards}}{\text{Total number of cards}} = \frac{16}{52}
\]

To simplify this fraction:

\[
\frac{16}{52} = \frac{4}{13}
\]

Thus, the probability that the card drawn is an honour card is:

\[
\frac{4}{13}
\]

Would you like more details, or do you have any questions?

Here are some related questions you might find interesting:

1. What is the probability of drawing a King from a deck of cards?
2. What is the probability of drawing a red card that is also an honour?
3. What is the probability of drawing a card that is either a spade or an honour?
4. If two cards are drawn without replacement, what is the probability that both are honour cards?
5. What is the probability of drawing an Ace given that the card drawn is an honour?

**Tip:** When solving probability problems, always start by clearly defining the total possible outcomes and the number of successful outcomes. This makes it easier to set up and solve the problem.

Calculate the probability of drawing an honour card (Jack, Queen, King, or Ace) from a standard deck of 52 cards. Learn the step-by-step method and formula to find the probability. Suitable for students in Grades 7-9.

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