Question

question 10 of 10
a randomly generated list of numbers from 0 to 4 is being used to simulate an event, with the number 4 representing a success. what is the estimated probability of a success?
a. 25%
b. 75%
c. 80%
d. 20%

Explanation:

Step1: Determine the total number of possible outcomes

The numbers are from \(0\) to \(4\). Using the formula for the number of integers in a range \(a\) to \(b\) (inclusive) which is \(b - a+ 1\). Here \(a = 0\), \(b = 4\), so the total number of outcomes \(n=4 - 0+1=5\).

Step2: Determine the number of successful outcomes

The number \(4\) represents a success. So the number of successful outcomes \(m = 1\).

Step3: Calculate the probability

The probability formula is \(P=\frac{m}{n}\). Substituting \(m = 1\) and \(n = 5\), we get \(P=\frac{1}{5}=0.2\). To convert to a percentage, we multiply by \(100\), so \(P = 0.2\times100\%=20\%\).

Answer:

D. 20%