if you rolled two dice, what is the probability that you would roll a sum of 9? give your answer as a…
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.
Answer
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 9 are $(3,6)$, $(4,5)$, $(5,4)$, $(6,3)$. So there are 4 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 $P = \frac{4}{36}=\frac{1}{9}$.
Answer:
1