if you rolled two dice, what is the probability that you would roll two of the same number?\nsecond\nfirst 1…

if you rolled two dice, what is the probability that you would roll two of the same number?\nsecond\nfirst 1 2 3 4 5 6\n1 1,1 1,2 1,3 1,4 1,5 1,6\n2 2,1 2,2 2,3 2,4 2,5 2,6\n3 3,1 3,2 3,3 3,4 3,5 3,6\n4 4,1 4,2 4,3 4,4 4,5 4,6\n5 5,1 5,2 5,3 5,4 5,5 5,6\n6 6,1 6,2 6,3 6,4 6,5 6,6\nprobability = \\frac{desired outcome}{all outcomes}\nsimplify your fraction, then enter the numerator.

if you rolled two dice, what is the probability that you would roll two of the same number?\nsecond\nfirst 1 2 3 4 5 6\n1 1,1 1,2 1,3 1,4 1,5 1,6\n2 2,1 2,2 2,3 2,4 2,5 2,6\n3 3,1 3,2 3,3 3,4 3,5 3,6\n4 4,1 4,2 4,3 4,4 4,5 4,6\n5 5,1 5,2 5,3 5,4 5,5 5,6\n6 6,1 6,2 6,3 6,4 6,5 6,6\nprobability = \\frac{desired outcome}{all outcomes}\nsimplify your fraction, then enter the numerator.

Answer

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 $P=\frac{\text{Desired Outcomes}}{\text{All Outcomes}}=\frac{6}{36}=\frac{1}{6}$. The problem asks for the numerator of the simplified fraction, which is 1.

Answer:

1