A fair 6-sided die has the numbers 1 through 6 on its faces. The numbers greater than 3 are 4, 5, and 6. Therefore, there are 3 favorable outcomes (4, 5, 6) out of a total of 6 possible outcomes.
The probability of rolling a number greater than 3 is:
\[ P(\text{number} > 3) = \frac{3}{6} = \frac{1}{2} \]
If the die is rolled 50 times, we can expect the number of times it lands on a number greater than 3 to be:
\[ E(\text{number greater than 3}) = 50 \times P(\text{number} > 3) = 50 \times \frac{1}{2} = 25 \]
Thus, we predict that it will land on a number greater than 3 approximately 25 times.