The possible outcomes for rolling a number cube twice are:
1,1 1,2 1,3 1,4 1,5 1,6 2,1 2,2 2,3 2,4 2,5 2,6 3,1 3,2 3,3 3,4 3,5 3,6 4,1 4,2 4,3 4,4 4,5 4,6 5,1 5,2 5,3 5,4 5,5 5,6 6,1 6,2 6,3 6,4 6,5 6,6
This is a total of 36 different combinations.
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There are 36 possible outcomes.
6 possible numbers to land on the first time, 6 possible numbers to land on the second time, 6x6=36
When a number cube is rolled twice, there are 36 possible outcomes. (1,1),(1,2),....(6,6). (3,3) occurs only once. Therefore, the probability of rolling a 3 both times is 1/36.
When rolling a number cube (a six-sided dice) twice, the sample space consists of all possible outcomes from both rolls. Since each roll has 6 possible outcomes, the total number of outcomes for rolling the number cube twice is 6 x 6 = 36. The sample space would be {1-1, 1-2, 1-3, ..., 6-5, 6-6} representing all possible combinations of the two rolls.
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