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.
<pre>
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 {{{5/36}}}. 

(1,1)  (1,2)   (1,3)  (1,4)   <font color="red">(1,5)</font>  (1,6)

(2,1)  (2,2)   (2,3)  <font color="red">(2,4)</font>   (2,5)  (2,6)

(3,1)  (3,2)   <font color="red">(3,3)</font>  (3,4)   (3,5)  (3,6)

(4,1)  <font color="red">(4,2)</font>   (4,3)  (4,4)   (4,5)  (4,6)

<font color="red">(5,1)</font>  (5,2)   (5,3)  (5,4)   (5,5)  (5,6)

(6,1)  (6,2)   (6,3)  (6,4)   (6,5)  (6,6)


Edwin</pre>