To predict how many times Emma rolled a 6 when rolling a six-sided fair number cube 300 times, we can use the concept of probability.
The probability of rolling a 6 on a fair six-sided die is \( \frac{1}{6} \).
To find out how many times we would expect to roll a 6 in 300 rolls, we can calculate:
\[ \text{Expected number of times rolling a 6} = \text{Total rolls} \times \text{Probability of rolling a 6} \]
\[ \text{Expected number of times rolling a 6} = 300 \times \frac{1}{6} \]
\[ = 300 \div 6 \]
\[ = 50 \]
Thus, we would predict that Emma rolled a 6 approximately 50 times.