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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

Prove that smoking level/day and ethnicity are dependent events.

Use the following information to answer the next ten exercises. Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55%prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6% of all Californians are Latino. In this problem, let: • C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.

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At a college, 72%of courses have final exams and 46%of courses require research papers. Suppose that 32%of courses have a research paper and a final exam. Let F be the event that a course has a final exam. Let R be the event that a course requires a research paper.

a. Find the probability that a course has a final exam or a research project.

b. Find the probability that a course has NEITHER of these two requirements.

Forty-eight percent of all Californians registered voters prefer life in prison without parole over the death penalty for a person convicted of first degree murder. Among Latino California registered voters, 55%prefer life in prison without parole over the death penalty for a person convicted of first degree murder. 37.6%of all Californians are Latino. In this problem, let: • C = Californians (registered voters) preferring life in prison without parole over the death penalty for a person convicted of first degree murder. L = Latino Californians. Suppose that one Californian is randomly selected.

Find P(L AND C).

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b. Let G = the event of getting two balls of different colors.

c. Let H = the event of getting white on the first pick.

d. Are F and G mutually exclusive?

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