Answer: Odds against rolling a sum of 3 = 17:1
Step-by-step explanation:
On rolling a pair of dice,
Total number of outcomes = 6 × 6 = 36
Outcomes with a sum of 3:
there is only 2 outcomes whose sum is 3, that is, (1,2) and (2,1)
∴ Favorable outcome = 2
Unfavorable outcome = 34
Odds against refers to the ratio of unfavorable outcomes to the favorable outcomes
so,
odds against rolling a sum of 3 = [tex]\frac{unfavorable\ outcomes}{favorable\ outcomes}[/tex]
= [tex]\frac{34}{2}[/tex]
= 17:1
