Respuesta :

Answer:

Probability of a sum of 9 = 0.111111

OR

Probability of a sum of 9 = 1/9

Step-by-step explanation:

Carrie rolls 2 fair dice and adds the results from each.

The total sample space = 36

Gotten from 6²= 36

The probability of getting a total of 9

Now let's look at the possible sum to give us a 9 (3 and 6, 4 and 5) twice.

So we gave number of occurrence of 9 to be four.

Probability of a sum of 9 = 4/36

Probability of a sum of 9 =1/9

Probability of a sum of 9 = 0.111111

The probability of getting a total of 9 is 0.111111 and this can be determined by using the concept of probability.

Given :

Carrie rolls 2 fair dice and adds the results from each.

The sample space is equal to [tex]6^2[/tex] that is 36. The numbers require on both the dices to get the sum equal to 9 are 4 and 5 or 6 and 3.

So, there is a total of 4 numbers in 36 sample size in order to get the sum of 9.

Now, the probability of getting a total of 9 is given by:

[tex]\rm P=\dfrac{4}{36}[/tex]

Further, simplify the above expression.

[tex]\rm P = \dfrac{1}{9}[/tex]

P = 0.111111

So, the probability of getting a total of 9 is 0.111111.

For more information, refer to the link given below:

https://brainly.com/question/23017717