Question

if you rolled two dice, what is the probability that you would roll a sum of 6? give your answer as a simplified fraction. enter the number that belongs in the green box. how many chances are there to roll a sum of 6? first second 1 2 3 4 5 6 1 1,1 1,2 1,3 1,4 1,5 1,6 2 2,1 2,2 2,3 2,4 2,5 2,6 3 3,1 3,2 3,3 3,4 3,5 3,6 4 4,1 4,2 4,3 4,4 4,5 4,6 5 5,1 5,2 5,3 5,4 5,5 5,6 6 6,1 6,2 6,3 6,4 6,5 6,6

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 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 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:

$\frac{5}{36}$