A six-sided number cube (die) has the numbers 1 through 6 on its faces. The even numbers on a standard die are 2, 4, and 6. Therefore, there are 3 even numbers on the die.
The probability of rolling an even number is:
\[ P(\text{even}) = \frac{\text{number of even outcomes}}{\text{total number of outcomes}} = \frac{3}{6} = \frac{1}{2} \]
If the die is rolled 900 times, we can find the expected number of times an even number will be rolled by multiplying the total number of rolls by the probability of rolling an even number:
\[ \text{Expected number of even rolls} = 900 \times \frac{1}{2} = 450 \]
Thus, the expected number of times an even number will be rolled is approximately 450 times.
The correct response is:
approximately 450 times.