OK - the dice poker game where you have 5 dice to get different "hands" to score points. One of them is the Yahtzee, or all 5 dice of the same. So, if you throw all 5 dice simultaneously, is the probabiliy 1 in 6^{5}? But, if you state "I need it to be a yahtzee in 6's", does the probability change, in that you have only a 1 in 6 chance of getting the right yahtzee?

Also, if you want any yahtzee, and you throw the dice individually, does this mean that the probability is only 1 in 6^{4}, as with the first die, it doesn't matter what number comes out, as long as the 4 remining dice agree?

I have a couple of other questions, but lets start with this!