To determine how many times a 3 or 5 is expected to be rolled when the number cube is rolled 246 times, we first need to find the probability of rolling a 3 or a 5.
A 6-sided die has the following numbers: 1, 2, 3, 4, 5, 6. The outcomes are 3 and 5, which gives us:
- Total outcomes = 6
- Favorable outcomes (rolling a 3 or a 5) = 2 (the numbers 3 and 5)
The probability of rolling a 3 or 5 is:
\[ P(3 \text{ or } 5) = \frac{\text{Favorable outcomes}}{\text{Total outcomes}} = \frac{2}{6} = \frac{1}{3} \]
Next, we multiply this probability by the total number of rolls (246) to predict the expected number of times a 3 or 5 will be rolled:
\[ \text{Expected number of times} = P(3 \text{ or } 5) \times \text{Total rolls} = \frac{1}{3} \times 246 = 82 \]
Therefore, the prediction for how many times a 3 or 5 will be rolled is 82 times.