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Two six-sided number cubes are rolled. Each number cube has sides numbered 1 through 6. What is the probability that the outcome is a sum that is a prime number or a multiple of   4. Give the answer in simplest fraction form.

 Jun 11, 2019
 #1
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According to my count, there are 24 combinations that will give you either a Prime number or a Multiple of 4:

 

So, 24 / 6^2 =24 / 36 = 2/3 - probability.

 Jun 11, 2019
 #2
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Here is a table of outcomes

 

          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 

 

We have 15  prime oucomes   and  9  outcomesthat are multiples of 4

 

So....as the Guest said     [ 15 + 9 ] / 36   =   24  / 36   =  2 /3

 

cool cool cool

 Jun 11, 2019

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