Question

Two number cubes each have sides that are labeled 1 to 6. Isis rolls the 2 number cubes. What is the probability that the sum of the numbers rolled will equal 4?

Answer 1

0.3333

Explanation:

Out of 6x6 = 36 different scenarios that could happen when rolling the 2 cubes, there are 3 cases where the sum of the numbers rolled will equal 4:

(1,3) (3,1) and (2,2)

So the probability for these 3 cases to happen out of 36 is

`(3)/(36) = (1)/(3)` or 0.3333

Answer 2

The probability that the sum of the numbers rolled will equal 4 is
`(1)/(12)`

Explanation:

Total possible outcome is 36

The sample space for the dice is shown below

`\left[\begin{array}{cccccc}1,1&1,2&1,3&1,4&1, 5&1,6\\2,1&2,2&2,3&2,4&2, 5&2,6\\3,1&3,2&3,3&3,4&3, 5&3,6\\4,1&4,2&4,3&4,4&4, 5&4,6\\5,1&5,2&5,3&5,4&5, 5&5,6\\6,1&6,2&6,3&6,4&6, 5&6,6\end{array}\right]`

From the above sample, the event of sum equals 4 is:

(1, 3)

(2, 2)

(3, 1)

Number of outcome with sum equals 4 is 3

`Probability = (number of possible outcome)/(number of total outcome) \\Probability = (3)/(36) = (1)/(12)`

The probability that the sum of the numbers rolled will equal 4 is
`(1)/(12)`