## You roll two six-sided fair number cubes. What is the probability that you will roll a sum greater than 6? A 7 / 12

Question

You roll two six-sided fair number cubes. What is the probability that you will roll a sum greater than 6?

A 7 / 12

B 1 / 2

C 5 / 12

D 13 / 18

in progress 0
3 weeks 2021-11-16T08:07:43+00:00 2 Answers 0 views 0

A) 7/12

Explanation:
There are 36 possible outcomes when rolling two dice, 21 of those would be greater than 6. The chance is 21/36 which can be simplified (divide numerator and denominator by common factor of 3) to 7/12

Step-by-step explanation:

When two six sided cubes are rolled the possible outcomes are:

1 2 3 4 5 6

1 11 12 13 14 15 16

2 21 22 23 24 25 26

3 31 32 33 34 35 36

4 41 42 43 44 45 46

5 51 52 53 54 55 56

6 61 62 63 64 65 66

Making a total of 36 outcomes

From the above representation the probability of getting two numbers that their sum will be greater than 6 is:

61 52 43 34 25 16 62 53 44 35 26 63 54 45 36 64 55 46 65 56 66 = 21 possible outcomes

Therefore

Probability = 21/36

= 7/12