Is Conditional Probability influenced by Consecutivity?

[kashmir0109]

What I mean by this is,
Say I roll a die, given the specific condition that I get four eights consecutively such as
"8888",
the same probability as if I give the specific condition that I get another specific non-consecutive number such as?
"0248"



Thanks

 

[Stata]

The probability for the two events would be the same, given that the 0248 must be rolled in that order. However, if not, then there are 4! ways 0248 can be rolled, vs just 1 way 8888 can be rolled.

 

[ImaLooser]

What I mean by this is,
Say I roll a die, given the specific condition that I get four eights consecutively such as
"8888",
the same probability as if I give the specific condition that I get another specific non-consecutive number such as?
"0248"



Thanks

That is correct. Of course, we assume that each number has the same chance of coming up and that the die rolls are independent.