Take any one from 1,2,3,... To 9, record and put it back, take n times continuously, and find the probability that the product of the number taken can be divided by 10?

Take any one from 1,2,3,... To 9, record and put it back, take n times continuously, and find the probability that the product of the number taken can be divided by 10?

In theory, as long as n is large, the probability is 100%
Because the product of 5 times an even number must be divisible by 10
However, the existence of special circumstances makes the result very pessimistic
For example, take 1000 times in a row, the result of 5 has not appeared, and the probability of conflict