Answer:
the probability that the first roll is 5, the second roll is an even number, and the third roll is a number greater than 2 is 1/18.
Explanation:
The probability of rolling 5 on the first roll is 1/6.
The probability of rolling an even number on the second roll is 3/6 or 1/2 (since three of the six faces have even numbers).
The probability of rolling a number greater than 2 on the third roll is 4/6 or 2/3 (since four of the six faces have numbers greater than 2).
To find the probability of all three events occurring, we multiply their probabilities:
1/6 * 1/2 * 2/3 = 1/18
Therefore, the probability that the first roll is 5, the second roll is an even number, and the third roll is a number greater than 2 is 1/18.