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Chapter 3: Q. 18 (page 216)

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

Short Answer

Expert verified

This solution is P(red card)=0.5

Step by step solution

01

Given

In order to answer the issue, we must calculate the chance of obtaining a red card 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 =Faworable number of casesTotal number of cases

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

localid="1649055740724" P(A)=24=0.5

03

Calculation

In a regular 52-card deck, we know that there are 26red and 26black 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" P(red card)=2652=12=0.5

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Most popular questions from this chapter

What is the probability of rolling a prime number of dots with a fair, six-sided die numbered one through six?

A box is filled with several party favors. It contains 12

hats, 15 noisemakers, ten finger traps, and five bags of confetti.

Let H = the event of getting a hat.

Let N = the event of getting a noisemaker.

Let F = the event of getting a finger trap.

Let C = the event of getting a bag of confetti.

Find P(F).

A student goes to the library. Let events B = the student checks out a book and D = the student check out a DVD. Suppose that P(B) = 0.40, P(D) = 0.30 and P(D|B) = 0.5.

a. Find P(B AND D).

b. Find P(B OR D).

Use the following information to answer the next four exercises. Table 3.15shows a random sample of musicians and how they learned to play their instruments.

Find P(musician is a female).

The graph in Figure 3.11displayed concerning their approval of Mayor Ford鈥檚 actions in office. The total number in the sample of all the age groups is 1.045.

a. Define three events in the graph.

b. Describe in words what the entry 40means.

c. Describe in words the complement of the entry in question 2.

d. Describe in words what the entry 30means.

e. Out of the males and females, what percent are males?

f. Out of the females, what percent disapprove of Mayor Ford?

g. Out of all the age groups, what percent approve of Mayor Ford?

h. Find P(Approve| Male).

i. Out of the age groups, what percent are more than 44years old?

j. Find P(Approve| Age < 35).
See all solutions

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