Question

One card is drawn from a well-shuffled deck of $52$ cards. Find the probability of getting a queen of red suit.

Answer 1

Step 1: Find the number of favorable outcomes:

Given that, the total number of cards from a well-shuffled deck $=52$

The total number of queens on the deck of cards $=4$

There are $2$queens of the red suit are there in the well-shuffled deck.

Thus, the number of possible outcomes will be $52$

Also, the number of favorable outcomes of getting a queen of the red suit will be $2$

Step 2: Use the formula for probability:

$\text{Probability=}\frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$

Thus, the probability will be,

$$\begin{gathered} \text{Probability=}\frac{2}{52} \\ \text{=}\frac{1}{26} \end{gathered}$$

Hence, the probability of getting a queen of the red suit will be $\frac{1}{26}$.