Question

For a lottery​ game, a player must match a sequence of three repeatable​ numbers, ranging from 0 to​ 9, in exact order​ (for example, 3–7–​2). With a single​ ticket, what is the probability of matching the three winning​ numbers? The probability is nothing.

Answer 1

`(1)/(729)`

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.

`(1)/(9) * (1)/(9) * (1)/(9) = (1)/(729)`

Therefore the probability of getting a winning ticket is
`(1)/(729)`