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Chapter 3: Q. 19 (page 216)

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

Short Answer

Expert verified

The probability of drawing a club in a standard deck of 52cards0.25.

Step by step solution

01

Given

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

02

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 =Fanorable number of casesTotal 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 Agetting one tail. There are two outcomes which favors the event A

localid="1648977751058" P(A)=24=0.5

03

Calculation

We know that a normal deck consists of 52cards divided into four suits of 13cards.
The four suits are as follows:
a. 13club cards
b. 13diamond 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" 52cases.
As a result, in a regular 52-card deck, the chance of getting a club is:

localid="1648977772981" P(club)=1352=14=0.25

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Most popular questions from this chapter

Use the following information to answer the next 12exercises. The graph shown is based on more than 1,70,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

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