Questions: In a certain test, there is a multiple choice question with the possible answers a, b, c, d, and e. By randomly guessing, the chances of getting the correct answer are stated as "1 in 5." Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

In a certain test, there is a multiple choice question with the possible answers a, b, c, d, and e. By randomly guessing, the chances of getting the correct answer are stated as "1 in 5." Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

Transcript text: In a certain test, there is a multiple choice question with the possible answers a, b, c, d, and e. By randomly guessing, the chances of getting the correct answer are stated as "1 in 5." Express the indicated degree of likelihood as a probability value between 0 and 1 inclusive.

Solution

Solution Steps

Step 1: Identify the Total Number of Possible Answers

The total number of possible answers is given as \(n = 5\).

Step 2: Calculate the Probability of Selecting the Correct Answer

Given that there is only one correct answer and each answer is equally likely to be selected, the probability of selecting the correct answer by randomly guessing is \(\frac{1}{5} = 0.2\).

Step 3: Express the Probability as a Decimal Value

After rounding to 3 decimal places, the probability is 0.2.