Question

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

Short answer

This solution is $P\left(\text{red card}\right)=0.5$

Step-by-step solution

Given

In order to answer the issue, we must calculate the chance of obtaining a red card 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 $=\frac{\text{Faworable number of cases}}{\text{Total number of cases}}$

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

localid="1649055740724" $$\begin{gathered} P\left(A\right)=\frac{2}{4} \\ =0.5 \end{gathered}$$

Calculation

In a regular $52$-card deck, we know that there are $26$red and $26$black cards.

As a result, the favorable number of situations for drawing a red card is $26$, while the overall number of cases is $52$. As a result, in a regular $52$-card deck, the chance of obtaining a red card is:

localid="1649055749963" $$\begin{gathered} P\left(\text{red card}\right)=\frac{26}{52} \\ =\frac{1}{2} \\ =0.5 \end{gathered}$$