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Q: How many elements are in the event space of rolling a sum of 12 with 2 dice?

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216

Three.

There are two elements in the event space. They are the rolls (6, 5) and (5, 6) .

When you roll two dice, a 7 may occur as (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) There are 6 elements in the event space.

There are 5 elements in the event space if you roll a sum of 8 with 2 dice; 2,6 & 6,2 & 3,4 & 4,3 & 4,4.

One.

Two.

There are 36 permutations of rolling two dice. Of these, there are five that add up to a sum of 8...6+25+34+43+52+6This translates to an event (or sample) space of {62, 53, 44, 35, 26}.The probability, then, of rolling a sum of 8 on two dice is 5 in 36, or about 0.1389.

Rolling a dice and getting an even number is an outcome. It is the result of rolling a dice.

There are 36.

11 outcomes if the dice are indistinguishable, 36 otherwise.

There are 64 = 1296 of them.

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