What are the odds of three dice coming up the same number

If you had 3 dice and they were 30 sides to each of them and rolled them one at a time, what are the odds of them coming up all the same? If you rolled them all at the same time would the odds change for coming up the same number?

If you are not specifying which number, the probability that all three will show the same number is 1/30² = 1/900. If you specify which number, the probability is 1/30³ = 1/27000

And it wouldn't matter whether you rolled 1 die three times or 3 dice all at the same time. The probabilities would be the same in either case = 1/900 for all showing the same number or 1/27000 for all showing some specific number.

The first dice rolled determines a specific number. Therefore the second and third number rolled must match the first. Therefore the odds are 30² (1/900) that the last two numbers will match the first. If all three dice are thrown at once there will be a 1/27000 chance that they will be the same.

1/30 ∙ 1/30 ∙ 1/30 = 1/27,000
(Assuming no number is repeated on the sides of any dice)

Odds would not change.

1/27000

1/27000

1 in 27000 I think, wouldn`t matter when you roll them.