Question 60637: 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.
Found 2 solutions by consc198, ikleyn:
Answer by consc198(59)   (Show Source):
You can put this solution on YOUR website! 1) 312 , 141 , 231 , 321 , 411.
2) 70% + 20% = 90%
100% - 90% = 10%
The probability that the buyer will select no garage is 10%
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Answer by ikleyn(53886)  (Show Source):
You can put this solution on YOUR website! .
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.
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.
ANSWER. The total number of all possible outcomes with the sum 6 is 10.
Solved correctly.
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