Use the following to answer the questions:
You roll two dice and record the sum shown. The sample space is the set of all possible sums, which are 2, 3, . . . , 11, 12.
-The probability of the event "the sum is 5" is:
A) 1/6.
B) 1/8.
C) 1/9.
D) 1/12.

Question

Use the following to answer the questions:  
You roll two dice and record the sum shown. The sample space is the set of all possible sums, which are 2, 3, . . . , 11, 12.
-The probability of the event "the sum is 5" is:
A) 1/6.
B) 1/8.
C) 1/9.
D) 1/12.

Quizplus · Accepted Answer

There are 36 possible outcomes (6 possibilities for each of the 6 rolls). The number of outcomes where the sum is 5 is 4 (1+4, 2+3, 3+2, 4+1). Therefore, the probability of rolling a sum of 5 is 4/36, which simplifies to 1/9.

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