you are playing a game that involves 2 number cubes. what is the probability that the sum of the 2 cubes…

you are playing a game that involves 2 number cubes. what is the probability that the sum of the 2 cubes equals 8? write your answer as a simplified fraction. (1 point)

you are playing a game that involves 2 number cubes. what is the probability that the sum of the 2 cubes equals 8? write your answer as a simplified fraction. (1 point)

Answer

Explanation:

Step1: Find total number of outcomes

Each cube has 6 faces. So the total number of outcomes when rolling 2 cubes is $6\times6 = 36$.

Step2: Find number of favorable outcomes

The pairs of numbers on the two - cubes 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 $P$ is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{5}{36}$.

Answer:

$\frac{5}{36}$