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Chapter 4: Q13 (page 143)

In Exercises 13鈥�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鈥�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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