Question

question 22 of 25
suppose that a randomly generated list of numbers from 0 to 9 is being used
to simulate an event that has a probability of success of 20%. which of these
groups of numbers could represent a success?

a. 0,1

b. 0,1,2

c. 0,1,2,3,4

d. 0,1,2,3

Explanation:

Step1: Calculate the number of successful numbers

There are 10 numbers from 0 to 9. The probability of success is 20% or \(\frac{20}{100}=\frac{1}{5}\). The number of successful numbers \(n = 10\times\frac{1}{5}=2\)

Step2: Check each option

• Option A: There are 2 numbers (0, 1). The proportion is \(\frac{2}{10} = 20\%\)
• Option B: There are 3 numbers (0,1,2). The proportion is \(\frac{3}{10}=30\%\)
• Option C: There are 5 numbers (0,1,2,3,4). The proportion is \(\frac{5}{10} = 50\%\)
• Option D: There are 4 numbers (0,1,2,3). The proportion is \(\frac{4}{10}=40\%\)

Answer:

A. 0,1