Question

if two dice are rolled one time, find the probability of getting these results. enter your answers as fractions or as decimals rounded to 3 decimal places. part: 0 / 4 part 1 of 4 (a) a sum of 8 p(sum of 8) =

Explanation:

Step1: Find total number of outcomes

Each die has 6 faces. When two dice are rolled, by the fundamental counting principle, the total number of outcomes is $6\times6 = 36$.

Step2: Find number of favorable outcomes

The pairs of numbers on the 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 the probability

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P(\text{sum of }8)=\frac{5}{36}\approx0.139$.

Answer:

$\frac{5}{36}\approx0.139$