Question

if you rolled two dice, what is the probability that you would roll a sum of 9? 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. So the total number of outcomes when rolling two dice is $6\times6 = 36$ according to the multiplication - principle.

Step2: Find number of favorable outcomes

The pairs of numbers on the two dice that sum to 9 are $(3,6)$, $(4,5)$, $(5,4)$, $(6,3)$. So there are 4 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 $P = \frac{4}{36}=\frac{1}{9}$.

Answer:

9