Question

if you rolled two dice, what is the probability that you would roll a sum of 2? give your answer as a simplified fraction. enter the number that belongs in the green box.

Explanation:

Step1: Find total number of outcomes

When rolling two dice, each die has 6 possible outcomes. By the fundamental counting principle, the total number of outcomes when rolling two dice is $6\times6 = 36$.

Step2: Find number of favorable outcomes

The only way to get a sum of 2 when rolling two dice is to roll a 1 on the first die and a 1 on the second die (i.e., (1,1)). So there is 1 favorable outcome.

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 $P=\frac{1}{36}$.

Answer:

$\frac{1}{36}$