Question

what is the probability of rolling a sum of 8?

Explanation:

Step1: Count total outcomes

Total number of outcomes when rolling two six - sided cubes is \(6\times6 = 36\) (by the fundamental counting principle).

Step2: Count favorable outcomes

Favorable outcomes (sum of 8) are \((2,6)\), \((3,5)\), \((4,4)\), \((5,3)\), \((6,2)\). So there are 5 favorable outcomes.

Step3: Calculate probability

Probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{5}{36}\)

Answer:

\(\frac{5}{36}\)