Question

What is the probability of drawing a club in a standard deck of $52$cards?

Short answer

The probability of drawing a club in a standard deck of $52$cards$0.25.$

Step-by-step solution

Given

In order to answer the question, we must calculate the chance of getting a club from a regular $52$-card deck.

Concept used

Probability is a metric for determining how certain we are of the results of a certain experiment.

The probability is calculated using the following formula:

Probability $=\frac{\text{Fanorable number of cases}}{\text{Total number of cases}}$

For example, if we flip a coin two times, the sample space associated with this random experiment is $\{HH,HT,TH,TT]$$whereTtailsandHheads.$Let's suppose $A$getting one tail. There are two outcomes which favors the event $A$

localid="1648977751058" $$\begin{gathered} P\left(A\right)=\frac{2}{4} \\ =0.5 \end{gathered}$$

Calculation

We know that a normal deck consists of $52$cards divided into four suits of $13$cards.

The four suits are as follows:
a. $13$club cards

b. $13$diamond cards

c. $13$ heart cards (about)

d. $13$ spades

As a result, the favorable number of instances in the event of drawing a club is $13$, with a total of localid="1648900825092" $52$cases.

As a result, in a regular $52$-card deck, the chance of getting a club is:

localid="1648977772981" $$\begin{gathered} P\left(\text{club}\right)=\frac{13}{52} \\ =\frac{1}{4} \\ =0.25 \end{gathered}$$