Question

What is the probability of obtaining a sum of at least nine when rolling a pair of dice (enter the probability as a fraction )

Answer 1

Total number of possible outcomes:

`6\cdot6=36`

From those 36 possible outcomes the next 10 sum of at least 9 ( a number greather than or equal to 9):

`\lbrace(3,6),(4,5),(4,6),(5,4),(5,5),(5,6),(6,3),(6,4),(6,5),(6,6)\rbrace`

Then, the probability of obtaining a sum of at least nine when rolling a pair of dice is:

`P=(10)/(36)=(5)/(18)`