# Answer to Question #25967 in Statistics and Probability for casey

Question #25967

When 2 dice 1 red and green are rolled there are 36 outcome. If both dice are fair the outcome are equally likely. Let E be the event that the sum of the numbers rolled is 7. What is the probability of 7 ?

Expert's answer

We have next combinations for the sum of the numbers rolled is 7:

6 red and 1 green: 6+1=7

5 red and 2 green: 5+2=7

4 red and 3 green:4+3=7

3 red and 4 green: 3+4=7

2 red and 5 green: 2+5=7

1 red and 6 green: 1+6=7

The total numberof combinations equals 6.

Therefore, theprobability that the sum of the numbers rolled is 7 equals:

P = 6/36 =1/6(=0.166667)

Answer: theprobability that the sum of the numbers rolled is 7 equals 1/6

6 red and 1 green: 6+1=7

5 red and 2 green: 5+2=7

4 red and 3 green:4+3=7

3 red and 4 green: 3+4=7

2 red and 5 green: 2+5=7

1 red and 6 green: 1+6=7

The total numberof combinations equals 6.

Therefore, theprobability that the sum of the numbers rolled is 7 equals:

P = 6/36 =1/6(=0.166667)

Answer: theprobability that the sum of the numbers rolled is 7 equals 1/6

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