SOLUTION: You are playing a game with 2 dice. You roll the two dice and get a total of six. What is the probability that you will roll a total of 6 on your next roll. This is asking you to

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: You are playing a game with 2 dice. You roll the two dice and get a total of six. What is the probability that you will roll a total of 6 on your next roll. This is asking you to       Log On


   



Question 881755: You are playing a game with 2 dice. You roll the two dice and get a total of six. What is the probability that you will roll a total of 6 on your next roll. This is asking you to factor the probability of the first and second rolls together. Please show all steps and work.
Found 2 solutions by stanbon, Edwin McCravy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You are playing a game with 2 dice. You roll the two dice and get a total of six. What is the probability that you will roll a total of 6 on your next roll. This is asking you to factor the probability of the first and second rolls together. Please show all steps and work.
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The events are independent::
# of ways to have a sum of 6:: 1/5 ; 2;4 ; 3;3 ; 4;2 ; 5;1
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P(sum = 6) = 5/36
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Cheers,
Stan H.
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Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
You are playing a game with 2 dice. You roll the two dice and get a total of six. What is the probability that you will roll a total of 6 on your next roll. This is asking you to factor the probability of the first and second rolls together. Please show all steps and work.
The fact that you got 6 the first time does not affect the probability
that you will get a 6 on the next roll.  So the probability is still these
5 rolls colored red below out of the 36 possible rolls, or 5%2F36. 

(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)


Edwin