216
Three.
There are two elements in the event space. They are the rolls (6, 5) and (5, 6) .
Only one is.
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.
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.
One.
Two.
Rolling a dice and getting an even number is an outcome. It is the result of rolling a dice.
There are 36.
A sum of 9 with 2 dice can be achieved with 3+6, 4+5, 5+4, and 6+3, so there are 4 elements in the event space for a sum of 9. This corresponds to a probability of 4 in 36, or 1 in 9, or about 0.1111 for that result.
11 outcomes if the dice are indistinguishable, 36 otherwise.