Question

example 1: patricia rolls two standard number cubes. use the table given to find the sample space, then find the probability that the sum of the numbers she rolls is 9

Explanation:

Step1: Define total sample space

A standard number cube has 6 outcomes. For two cubes, total outcomes: $6 \times 6 = 36$

Step2: Identify favorable outcomes (sum=9)

Pairs that sum to 9: $(3,6), (4,5), (5,4), (6,3)$. Count = 4

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$ = $\frac{4}{36}$ = $\frac{1}{9}$

Answer:

$\frac{1}{9}$