SOLUTION: My problem is: The question is, A fair, 6-sided die has faces numered 1,2,3,4,5 and 6 When the die is thrown, the number facing up is the score. The dice is thrown three times.

Algebra ->  Probability-and-statistics -> SOLUTION: My problem is: The question is, A fair, 6-sided die has faces numered 1,2,3,4,5 and 6 When the die is thrown, the number facing up is the score. The dice is thrown three times.       Log On


   



Question 553056: My problem is:
The question is, A fair, 6-sided die has faces numered 1,2,3,4,5 and 6
When the die is thrown, the number facing up is the score.
The dice is thrown three times.
My question is now that I first need to calculate the probability hat the total score is 18 and second is to calculate the probability that the score on the third throw is exactly double the total of the scores on the first two throws.
Thank's for helping.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The question is, A fair, 6-sided die has faces numered 1,2,3,4,5 and 6
When the die is thrown, the number facing up is the score.
The dice is thrown three times.
---
There are 6^3 = 216 sums
Sums range from 3 to 18
There is only one way to get a sum of 3 and
one way to get a sum of 18.
----------------------------------
My question is now that I first need to calculate the probability that the total score is 18
P(sum = 18) = 1/216
-----------------------------
and second is to calculate the probability that the score on the third throw is exactly double the total of the scores on the first two throws.
Patterns that meet the requirement:: 1,1,4 ; 1,2,6 ; 2,1,6
P(meet the requirement) = 3/216 = 1/72
=======================================
Cheers,
Stan H.
===============