Question

You roll 2 dice. What is the probability that the sum of the dice is greater than 6 and 1 die shows a 2? A 6 X 6 table of dice outcomes will help you to answer this question ...?

Answer 1

Create the sample space and weed out the offending options:

11 21 31 41 51 61
12 22 32 42 52 62
13 23 33 43 53 63
14 24 34 44 54 64
15 25 35 45 55 65
16 26 36 46 56 66

Delete everything that doesn't have 2

21
12 22 32 42 52 62
23
24
25
26

Now delete everything that sums to 6 or less

52 62
25
26

and that's it; 4 left out of 36