Question

when a dice is rolled twice how many outcomes are there?

Answer 1

6

Answer 2

Unless, you take into account the previous outcome, in which case it's 36.

Answer 3

Don't we need to account for the fact 1, 1 is indistinguishable from 1, 1 etc?

Answer 4

4, 1 could be distinguishable from 1, 4 because we're rolling the same die twice, but:
1,1
2,2
3,3
4,4
5,5
6,6
are six indistinguishable outcomes, giving us 36-6 = 30 outcomes.

Answer 5

Rolling a die twice gives the same results as tossing a pair of dice because the two events of rolling a dice once are independent. 6 outcomes for the first and 6 for the second yields 36 possible outcomes. Think of one die a red and the other green to avoid confusion about duplicates.

Answer 6

@Directrix the question appears to be dealing with only one die being rolled twice, not two dice.

Answer 7

There is no way to tell apart 1,1 from 1,1 if you roll the same die twice, or if you roll two dice of the same colour.