Question

assume that random guesses are made for 6 multiple - choice questions on a test with 5 choices for each question, so that there are ( n = 6 ) trials, each with probability of success (correct) given by ( p = 0.20 ). find the probability of no correct answers.
the probability of no correct answers is
(round to three decimal places as needed.)

Explanation:

Step1: Locate the row for \(n = 6\)

In the binomial probability table, find the row where \(n = 6\) (the number of trials).

Step2: Locate the column for \(p=0.20\)

In the row for \(n = 6\), find the column corresponding to \(p = 0.20\) (probability of success).

Step3: Locate the value for \(x = 0\)

In the cell where the row \(n = 6\) and column \(p = 0.20\) intersect, and for \(x=0\) (number of successes), the value is \(0.262\).

Answer:

\(0.262\)