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 .
(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