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Chapter 4: Q13 (page 143)

In Exercises 13–20, express the indicated degree of likelihood as a probability value between 0 and 1.

Testing If you make a random guess for the answer to a true/false test question, there is a 50–50 chance of being correct.

Short Answer

Expert verified

The probability value for getting a correct answer (true/false) equals 0.5.

Step by step solution

01

Given information

For a true/false question, there is a 50-50 chance of getting the correct answer.

02

Discuss the concept of probability

Probability can be defined as the degree of likelihood for any arbitrary event.

For a given event A, the probability of A is computed using following formula:

PA=NumberofoutcomesinwhichAislikelytooccurTotalnumberofoutcomes

03

Calculating the probability value

Here,

the total number of possible answers equals 2; true or false.

The number of correct answers is equal to 1.

Since there are 50-50 chance for getting correct answers, the probability of getting a correct answer is equal equally likely; 50% (0.5) each.

Mathematically,

Pcorrectanswer=NumberofcorrectanswersTotalnumberofanswers=12=0.5

Therefore, the probability of getting a correct answer is equal to 0.5.

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Most popular questions from this chapter

Denomination Effect. In Exercises 13–16, use the data in the following table. In an experiment to study the effects of using a \(1 bill or a \)1 bill, college students were given either a \(1 bill or a \)1 bill and they could either keep the money or spend it on gum. The results are summarized in the table (based on data from “The Denomination Effect,” by Priya Raghubir and Joydeep Srivastava, Journal of Consumer Research, Vol. 36).

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27

46

Students Given a \)1 bill

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a. Find the probability of randomly selecting a student who spent the money, given that the student was given a \(1 bill.

b. Find the probability of randomly selecting a student who kept the money, given that the student was given a \)1 bill.

c. What do the preceding results suggest?

In Exercises 9–20, use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table.

McDonald’s

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329

264

249

145

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13

Fast Food Drive-Thru Accuracy If one order is selected, find the probability of getting an order that is not accurate.

Denomination Effect. In Exercises 13–16, use the data in the following table. In an experiment to study the effects of using a \(1 bill or a \)1 bill, college students were given either a \(1 bill or a \)1 bill and they could either keep the money or spend it on gum. The results are summarized in the table (based on data from “The Denomination Effect,” by Priya Raghubir and Joydeep Srivastava, Journal of Consumer Research, Vol. 36).

Purchased Gum

Kept the Money

Students Given A \(1 bill

27

46

Students Given a \)1 bill

12

34

Denomination Effect

a. Find the probability of randomly selecting a student who spent the money, given that the student was given four quarters.

b. Find the probability of randomly selecting a student who spent the money, given that the student was given a $1 bill.

c. What do the preceding results suggest?

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In Exercises 13–20, express the indicated degree of likelihood as a probability value between 0 and 1.

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