Give an example of an event that is more likely than rolling a sum of 8

Question
Factors and multiples
asked 2020-11-14
Give an example of an event that is more likely than rolling a sum of 8

Answers (1)

2020-11-15
The outcomes for each number cube are 1, 2, 3, 4, 5, and 6 so the smallest possible sum for two number cubes is 1+1=2 and the largest possible sum is 6+6=12.
The outcomes for rolling a sum of 8 are 2+62+6, 6+26+2, 3+53+5, 5+35+3, and 4+4. There are then 5 possible outcomes for rolling a sum of 8.
If an event has more than 5 possible outcomes, it would then be more likely than rolling a sum of 8.
The smaller the sum is (such as a sum of 3 or 4) or the larger the sum is (such as a sum of 10 or 11), the fewer possible outcomes there are.
The sum with the largest number of possible outcomes is then the sum halfway between the smallest sum of 2 and the largest sum of 12, which is (2+12)/2=14/2=7
The possible outcomes for a sum of 7 are 1+6, 6+1, 2+5, 5+2, 3+4, and 4+3 so there are 6 possible outcomes for a sum of 7. There are then more possible outcomes for a sum of 7 than there are for a sum of 8.
An event that is more likely than rolling a sum of 8 is then rolling a sum of 7.
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