Question

if you rolled two dice, what is the probability that you would roll two of the same number?
probability = \frac{desired outcome}{all outcomes}
simplify your fraction, then enter the numerator

Explanation:

Step1: Count all possible outcomes

When rolling two dice, each die has 6 possible values. So the total number of outcomes is $6\times6 = 36$.

Step2: Count desired outcomes

The desired outcomes (rolling two - of the same number) are (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), which is 6 outcomes.

Step3: Calculate probability

The probability formula is $P=\frac{\text{Desired Outcomes}}{\text{All Outcomes}}$. So $P = \frac{6}{36}=\frac{1}{6}$.

Answer:

1