Final answer:
The probability of rolling the numbers 2, 5, and 4 on three rolls of a die is 1/216.
Step-by-step explanation:
To find the probability, we need to calculate the probability of getting each number on each roll, and then multiply those probabilities together.
Since it is a fair, six-sided die, the probability of rolling a specific number, like 2, is 1/6.
So, the probability of getting 2 on the first roll is 1/6.
Similarly, the probability of getting 5 on the second roll is also 1/6, and the probability of getting 4 on the third roll is 1/6.
Since we are calculating the probabilities of three independent events, we can multiply their individual probabilities:
(1/6) x (1/6) x (1/6)
= 1/216.
Therefore, the probability of getting the numbers 2, 5, and 4 on three rolls of a die is 1/216.