Answer: A. 1 in 100,000,000
Step-by-step explanation:
The given digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
The total number of digits = 10
Now by using the counting principle, the probability of choosing one number is given by :-
[tex]\text{P(one number)}=\dfrac{1}{10}[/tex]
Therefore, the probability of choosing 8 numbers (with replacement ) will be :
[tex]\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}\times\dfrac{1}{10}=(\dfrac{1}{10})^8=\dfrac{1}{100,000,000}[/tex]
