Answer:
[tex]\frac{1}{729}[/tex]
Step-by-step explanation:
In order to calculate the probability of winning we first need to calculate the probability of hitting a single number. Since each number can only be between digits 0 and 9 that means there is a 1/9 chance of getting one of the numbers correct. Now we simply multiply this probability three times to calculate the probability of getting the correct digit three times in a row to get the winning ticket. When multiplying fractions simply multiply all the numerators together and then all the denominators together.
[tex]\frac{1}{9} * \frac{1}{9} * \frac{1}{9} = \frac{1}{729}[/tex]
Therefore the probability of getting a winning ticket is [tex]\frac{1}{729}[/tex]