Solve $P(\text{sum}=7)$

Step-by-step solution

1. Step 1 · Count the sample space
   $$|S|=36$$

   Six faces on each of two independent dice.

2. Step 2 · Count outcomes
   $$6\text{favourable}$$

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

3. Step 3 · Probability of equally likely outcomes
   $$\frac{6}{36}=\frac{1}{6}$$

   Favourable outcomes divided by total outcomes.