When rolling two dice, the event space for obtaining a sum of 6 consists of the following combinations: (1, 5), (2, 4), (3, 3), (4, 2), and (5, 1). There are 5 possible outcomes that result in a sum of 6. Therefore, the number of elements in the event space is 5.
Three.
Only one is.
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.
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.
Three.
216
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.