Question

question 7 of 10
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 60%. which of these groups of numbers could represent a success?

a. 0, 1, 2, 3, 4, 5, 6, 7
b. 0, 1, 2, 3, 4, 5, 6, 7, 8
c. 0, 1, 2, 3, 4, 5, 6
d. 0, 1, 2, 3, 4, 5

Explanation:

Step1: Determine total numbers

Numbers from 0 to 9: total \( n = 10 \) numbers.

Step2: Calculate desired count for 60%

Probability of success is 60%, so number of success - representing numbers should be \( 0.6 \times 10 = 6 \).

Step3: Check each option

• Option A: 8 numbers (\( \frac{8}{10}=80\% \)) – no.
• Option B: 9 numbers (\( \frac{9}{10}=90\% \)) – no.
• Option C: 7 numbers (\( \frac{7}{10}=70\% \)) – no.
• Option D: 6 numbers (\( \frac{6}{10}=60\% \)) – yes.

Answer:

D. 0, 1, 2, 3, 4, 5