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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The sample space of a standard six sided die rolled twice, or two dice rolled once (they are the same) is [11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66].
The sample space for tossing a coin twice is [HH, HT, TH, TT].
Because 3/6 of the sides on a number cube have even numbers, the probability of rolling even on one number cube is 1/2(equivalent of 3/6). But since you're rolling twice, you multiply the probability of one by itself (therefore rolling 2 number cubes). So: 1/2x1/2=1/4 The probability of rolling an even number when a number cube is rolled twice is 1/4, 25%, or 1 out of 4.
50 percent
The chance of rolling a 6 twice in a row, on a six-sided die, is 1 in 36 or 2.78%. The number of possible different results for rolling a six-sided die twice is 6 squared (6 times 6), or 36, therefore the probability of getting any one of the possible results is 1 out of 36.
Let A be the event of rolling a 4. P(A) = 1/6 P(A)P(A)=(1/6)(1/6)=1/36 Therefore, the probability of rolling a 4 twice with two rolls of a number cube is 1/36.