SOLUTION: Two dice are rolled. Find the probability of getting doubles or a sum of 2.
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Question 1134701: Two dice are rolled. Find the probability of getting doubles or a sum of 2.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
When two six sided dice are rolled, there are 36 possible outcomes
:
There are 6 ways to get doubles and one way to get a sum of 2
:
(1,1), (2,2), (3,3), (4,4), (5,5), (6,6)
:
(1,1)
:
Therefore we have,
:
Counting doubles, we must exclude (1,1) to avoid counting it twice
:
1/36 + 1/36 + 1/36 +1/36 + 1/36 = 5/36
:
Then we count (1,1) once since it is the only way to get a sum of 2
:
1/36
:
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The probability of getting doubles or a sum of 2 = 5/36 + 1/36 = 6/36 = 1/6
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