Question 60637
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1. When 3 dice are rolled, how many ways can the sum of 6 be obtained?

2. In building new homes, a contractor finds that the probability of a homeowner selecting a 2 car garage is .70 
and of selecting a 1 car gagage is .20. Find the probability that the buyer will select no garage. 
The builder does not build houses with garages of 3 or more cars.
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        The solution in the post by  @consc198  to part  (1)  is incomplete and does not give a correct answer.

        Therefore, I came to bring a solution to part  (1)  in the form as it should be done.



<pre>
Let's consider/classify all possible outcomes.


Outcome (4,1,1) produces 3 possible distinguishable permutations, in all.


Outcome (3,2,1) produces 6 possible distinguishable permutations, in all.


Outcome (2,2,2) produces 1 possible distinguishable permutation, in all.


So, the total number of all possible outcomes with the sum 6 is  3 + 6 + 1 = 10.


<U>ANSWER</U>.  The total number of all possible outcomes with the sum 6 is  10.
</pre>

Solved correctly.