Need math help with the probability of an event

Mathematics
Tutor: None Selected Time limit: 1 Day

An ordinary (fair) die is a cube with the numbers 
 through 
 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of arandom experiment.

Compute the probability of each of the following events:
Event 
: The sum is greater than 
.
Event 
: The sum is divisible by 
.

Write your answers as exact fractions

Nov 11th, 2015

Thank you for the opportunity to help you with your question!

there are 36 out comes when throw the die twice, 

the sum is 

1times: 12 = 6+6, 

2 times 11=5+6 = 6+5

3 times 10 = 5+5 = 4+6=6+4

4 times  9 = 4+5 = 5+4 =6+3 =3+6

5 times 8 = 4+4= 6+2=2+6=5+3=3+5

6 times 7 = 1+6=6+1=5+2=2+5=3+4=4+3

5 times 6 = 3+3=2+4=4+2=1+5=5+1

4 times 5 = 3+2=2+3=1+4=4+1

3 times 4 = 2+2=1+3=3+1

2 time 3 = 1+2=2+1

1 times 2 =1+1

The sum >8, it can be  9, 10, 11 and 12

number of times that the sum> 6 is 1+2+3+4=10

The probability of Event A= 10/36 = 5/18

Fro event B the sum can be 12, 8, 4 

the times that B occurs is 1+5+3 = 9 

The probability of Event B = 9/36=1/4 


Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 11th, 2015

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