Question

use the following information for questions 6 and 7. arturo rolls two six - sided number cubes, with faces labeled 1 - 6, as shown in the figure. 6. what is the probability that the sum of the numbers on the two cubes is 6? a. $\frac{1}{36}$ b. $\frac{5}{36}$ c. $\frac{5}{18}$ d. $\frac{7}{12}$

Explanation:

Step1: Find total number of outcomes

Each die has 6 possible outcomes. When rolling two dice, by the multiplication - 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 6 are: (1, 5), (2, 4), (3, 3), (4, 2), (5, 1). So there are 5 favorable outcomes.

Step3: Calculate the 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:

B. $\frac{5}{36}$