Question

question 1 of 10
in a randomly generated list of numbers from 0 to 8, what is the chance that each number will occur?
a. $\frac{1}{8}$
b. $\frac{1}{7}$
c. $\frac{1}{6}$
d. $\frac{1}{9}$

Explanation:

Step1: Calculate the total number of numbers

The numbers range from 0 to 8. Using the formula for the number of integers in a range \(n = b - a+1\) (where \(a = 0\), \(b = 8\)), we have \(n=8 - 0 + 1=9\) numbers.

Step2: Use the probability formula

The probability \(P\) of an event (a particular number occurring) is given by \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes for each number is 1 (since we are interested in a single number), and the total number of outcomes is 9. So \(P = \frac{1}{9}\).

Answer:

D. \(\frac{1}{9}\)