Suppose I roll two 10-sided dice, 1 die has numbers o, 10, 20, 30 etc to 90. The second die has numbers 0, 1 ,2 etc to 9. These dice are used to create a number from 1 to 100 - example: the first die rolls a 40, the second die rolls a 9 = the number 49. The number 100 is garnered by both dice rolling 0.
If I do this twice, i.e. two people rolling at the same time (realizing that "at the same time" doesn't really apply - dice could care less what time it is)
What is the probability and/or odds of both set of dice coming out the same number? (without deciding what that number is before the roll)
What is the probability that both sets of dice would match a specific number say, 49?
Are the probabilities any different if you were to use a single 100 faced die?
Please feel free to explain in detail, I am not a math novice, but am not well versed in statistics.