Question

A six-sided die is rolled two times. What is the theoretical fractional probability that the first number is even and the second number is odd?​

Answer 1

Answer:

The theoretical probability that the first number is even and the second number is odd is $\frac{1}{4}$.

Step-by-step explanation:

Since each dice has six sides, and there are two die, the total amount of different outcomes are $6^2$ or 36. The probability of getting an even number on the first roll is $\frac{3}{6}$ or $\frac{1}{2}$, and the probability of getting an odd number on the second roll is also $\frac{3}{6}$ or $\frac{1}{2}$, so the probability of getting an even number on the first roll and an odd number on the second roll is $\frac{1}{2} * \frac{1}{2} = \frac{1}{4}$.