Final answer:
The probability of getting an even number on the first roll and an odd number on the second roll is 1/4 or 0.25. The events are independent because the outcome of the first roll does not affect the probability of the outcome of the second roll.
Step-by-step explanation:
The probability of getting an even number on the first roll and an odd number on the second roll can be found by multiplying the probability of getting an even number on the first roll by the probability of getting an odd number on the second roll. Since there are 6 equally likely outcomes on each roll, the probability of getting an even number is 3/6 or 1/2, and the probability of getting an odd number is also 3/6 or 1/2. Therefore, 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 or 0.25.
The events are independent because the outcome of the first roll does not affect the probability of the outcome of the second roll. Each roll is a separate event with its own set of outcomes.