Respuesta :
Answer:
The probability of choosing the 8 winning lottery numbers when the numbers are chosen at random from 0-9 is:
[tex]\dfrac{1}{10^8}[/tex]
Step-by-step explanation:
We know that there are total 10 numbers from 0-9
As all of the 8 numbers may repeat.
Hence, total number of ticket number possible are:10×10×10×10×10×10×10×10=10^8
Now the probability of choosing the 8 winning lottery numbers is given by:
[tex]Probability=\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}[/tex]
Hence, the answer is:
[tex]\dfrac{1}{10^8}[/tex]
