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# two fair dice are rolled the sum of the dice is 5

two fair dice are rolled the sum of the dice is 5

What's the question, Erica?

### 3 Answers by Expert Tutors

Steve S. | Tutoring in Precalculus, Trig, and Differential CalculusTutoring in Precalculus, Trig, and Diffe...
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This table contains all the possible sums of 2 die:

| 1  2  3   4   5  6
1 | 2  3  4   5   6  7
2 | 3  4  5   6   7  8
3 | 4  5  6   7   8  9
4 | 5  6  7   8   9 10
5 | 6  7  8   9 10 11
6 | 7  8  9 10 11 12

What's the probability the sum will be 5?: 4/36 = 1/9.

What's the probability the sum will be >4 and <8: 15/36 = 5/12.

Etc.
Adam S. | Professional and Proficient Math TutorProfessional and Proficient Math Tutor
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To find the probability determine the number of successful outcomes divided by the number of possible outcomes overall. Each dice has six combinations which are independent. Therefore the number of possible outcomes will be 6*6 = 36.

The number of successful outcomes will be the number of outcomes where the number of the dice adds up to five. There are four successful outcomes:

(1)(4)
(2)(3)
(3)(2)
(4)(1)

The probability of rolling a pair of dice whose numbers add to 5 is 4/36 = 1/9.

Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
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Hi Erica;
Possible combinations...
1+4=5
2+3=5
3+2=5
4+1=5
Total combinations...
(6)(6)=36

4/36=1/9