Answer:
The probability that sum of numbers rolled is a multiple of 3 or 4 is:
.
Step-by-step explanation:
The sample space for two fair die (dice) is given below:
![\left[\begin{array}{ccccccc}&1&2&3&4&5&6\\1&2&3&4&5&6&7\\2&3&4&5&6&7&8\\3&4&5&6&7&8&9\\4&5&6&7&8&9&10\\5&6&7&8&9&10&11\\6&7&8&9&10&11&12\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccccc%7D%261%262%263%264%265%266%5C%5C1%262%263%264%265%266%267%5C%5C2%263%264%265%266%267%268%5C%5C3%264%265%266%267%268%269%5C%5C4%265%266%267%268%269%2610%5C%5C5%266%267%268%269%2610%2611%5C%5C6%267%268%269%2610%2611%2612%5Cend%7Barray%7D%5Cright%5D)
From the above table:
Number of occurrence where sum is multiple of 3 = 12
Number of occurrence where sum is multiple of 4 = 9
Total number in the sample space = 36
probability(sum is 3) = 12/36
probability(sum is 4) = 9/36
probability(sum is 3 or 4) 