SOLUTION: A pair of dice is tossed and the sum of the two dice is calculated. Find the probability the sum is 3.

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Question 1132046: A pair of dice is tossed and the sum of the two dice is calculated. Find the probability the sum is 3.

Found 2 solutions by gsmani_iyer, ikleyn:
Answer by gsmani_iyer(201) About Me  (Show Source):
You can put this solution on YOUR website!
2%3A12 which is equal to 1%3A6

Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.
The total space of events is the space of all pairs (a,b), where "a" and "b" are integer numbers from 1 to 6 inclusively.


So, the total space of events has 6*6 = 36 elements, that are such pairs (outcomes).


The favorable set is the set of pairs (a,b) with a + b = 3.


It consists of pairs (1,2) and (2,1), counting exactly 2 (two) elements.


Therefore, the probability under the question is the ratio  2%2F36 = 1%2F18.      ANSWER