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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

Table 3.3shows the number of athletes who stretch before exercising and how many had injuries within the past year.

a. What is P (athlete stretches before exercising)?

b. What is P (athlete stretches before exercising|no injury in the last year)?

Table 3.20 gives the number of suicides estimated in the U.S. for a recent year by age, race (black or white), and sex. We are interested in possible relationships between age, race, and sex. We will let suicide victims be our population.

a. Fill in the column for the suicides for individuals over age 64.

b. Fill in the row for all other races.

c. Find the probability that a randomly selected individual was a white male.

d. Find the probability that a randomly selected individual was a black female.

e. Find the probability that a randomly selected individual was black

f. Find the probability that a randomly selected individual was a black or white male.

g. Out of the individuals over age 64, find the probability that a randomly selected individual was a black or white

male.

Table 3.6shows a random sample of 200cyclists and the routes they prefer. Let M= males and H= hilly path.

a. Out of the males, what is the probability that the cyclist prefers a hilly path?

b. Are the events "being male" and "preferring the hilly path" independent events?

A box has two balls, one white and one red. We select one ball, put it back in the box, and select a second ball (sampling with replacement). Let T be the event of getting the white ball twice, F the event of picking the white ball first, S the event of picking the white ball in the second drawing.

a. Compute P(T).

b. Compute P(T|F).

c. Are T and F independent?.

d. Are F and S mutually exclusive?

e. Are F and S independent?

A jar of 150 jelly beans contains 22 red jelly beans, 38

yellow, 20 green, 28 purple, 26 blue, and the rest are orange.

Let B = the event of getting a blue jelly bean

Let G = the event of getting a green jelly bean.

Let O = the event of getting an orange jelly bean.

Let P = the event of getting a purple jelly bean.

Let R = the event of getting a red jelly bean.

Let Y = the event of getting a yellow jelly bean.

Find P(B).
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