Probablity & Statistics - Dice Question

[jolliff56]

I 58 years old I have return to school. This summer I am in Math 105 and we are currently in probability and I am really struggling with a question. I really just need step by step instruction that I am not getting in my online course. If someone could help me understand this problem. I am fine with the rest. The question is "What is the probability of getting the sum of 8 or at least 6 on a pair of dice"? I do not know what it is not computing but I have been working on this one problem for close to an hour.

Thanks
Jolliff56

 

[pka]

"What is the probability of getting the sum of 8 or at least 6 on a pair of dice"? I do not know what it is not computing but I have been working on this one problem for close to an hour.

Here is the set of outcomes: \(\displaystyle \begin{array}{*{20}{c}}{(1,1)}&{(1,2)}&{(1,3)}&{(1,4)}&{(1,5)}&{(1,6)}\\{(2,1)}&{(2,2)}&{(2,3)}&{(2,4)}&{(2,5)}&{(2,6)}\\{(3,1)}&{(3,2)}&{(3,3)}&{(3,4)}&{(3,5)}&{(3,6)}\\{(4,1)}&{(4,2)}&{(4,3)}&{(4,4)}&{(4,5)}&{(4,6)}\\{(5,1)}&{(5,2)}&{(5,3)}&{(5,4)}&{(5,5)}&{(5,6)}\\{(6,1)}&{(6,2)}&{(6,3)}&{(6,4)}&{(6,5)}&{(6,6)}\end{array}\)

There are thirty-six pairs. Count the number that add to six or more. Divide that by 36.