Question

1. Find the probability of correctly answering the first 4 questions on a multiple choice test using random guessing. Each question has 3 possible answers.

 

1. The measure of how likely an event will occur is probability. Match the following probability with one of the statements. There is only one answer per statement.

           0                 0.25            0.60             1

          a. This event is certain and will happen every time.

          b. This event will happen more often than not.

          c. This event will never happen.

          d. This event is likely and will occur occasionally.

Answer 1

Step 1:

(1)

Total number of questions to be answered is 4.

Number of choices to be made for correct answer is 3.

Let be the probability of selecting correct answers.

Probability of selecting correct answer from each question is

Step 2:

Let be the probability of correctly answering four questions.

Probability of answering 4 questions is

Solution:

The probability of correctly answering four questions is .

Answer 2

 Step 1:

(1)

Probability is a measure of how likely an events is to occur.

(a)

A certain event has probability of 1.

Probability of an certain event which occurs all the time is 1.

(b)

A event that is unlikely has probabilty nearly 0.25.

Probability of  event will happen more often than not is 0.25.

(c)

A impossible event has probability of 0.

Probability of an impossible event is 0.

(d)

A event that is likely has probabilty nearly 0.75.

Probability of  event is likely and will occur occasionally is 0.60.

Match:

(a) → 1

(b) → 0.25

(c) → 0

(d) → 0.60

Solution :

(a) → 1

(b) → 0.25

(c) → 0

(d) → 0.60