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

The theoretical probability that the first number is even and the second number is odd is
`(1)/(4)`.

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
`(3)/(6)` or
`(1)/(2)`, and the probability of getting an odd number on the second roll is also
`(3)/(6)` or
`(1)/(2)`, so the probability of getting an even number on the first roll and an odd number on the second roll is
`(1)/(2) * (1)/(2) = (1)/(4)`.