Explanation:
Each die has 6 outcomes. So there are a total of 6×6=36 possible combinations.
![\left[\begin{array}{ccccccc}&1&2&3&4&5&6\\1&1+1&1+2&1+3&1+4&1+5&1+6\\2&2+1&2+2&2+3&2+4&2+5&2+6\\3&3+1&3+2&3+3&3+4&3+5&3+6\\4&4+1&4+2&4+3&4+4&4+5&4+6\\5&5+1&5+2&5+3&5+4&5+5&5+6\\6&6+1&6+2&6+3&6+4&6+5&6+6\end{array}\right]](https://img.qammunity.org/2021/formulas/mathematics/college/u0lnk1hammosqss8o4zq4eder2zsxqzswx.png)
a. There are 6 possible doubles. So the probability is 6/36 = 1/6.
b. There are 9 possible even sums less than or equal to 6. So the probability is 9/36 = 1/4.
c. There are 6+9−3=12 possible doubles or even sums less than or equal to 6. So the probability is 12/36 = 1/3.
d. There are 3 possible doubles that are sums less than or equal to 6. So the probability is 3/36 = 1/12.