Question

what is the probability of rolling a sum of 8?
\\(\frac{1}{12}\\)
\\(\frac{5}{36}\\)
\\(\frac{1}{6}\\)
\\(\frac{7}{36}\\)

Explanation:

Step1: Find total number of outcomes

When rolling two - dice, each die has 6 possible outcomes. So the total number of outcomes when rolling two dice is $6\times6 = 36$.

Step2: Find number of favorable outcomes

The pairs of numbers on two dice that sum to 8 are: (2,6), (3,5), (4,4), (5,3), (6,2). So there are 5 favorable outcomes.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{5}{36}$.

Answer:

$\frac{5}{36}$