To predict the number of times a 4 will be rolled on a number cube in 100 rolls, we need to consider the probability of rolling a 4 in a single roll. Here are the steps:
1. Identify the Probability of Rolling a 4:
- A standard number cube (or six-sided die) has 6 faces, each with equal probability.
- Therefore, the probability of rolling any specific number, including the number 4, is [tex]\( \frac{1}{6} \)[/tex].
2. Calculate the Expected Number of Times a 4 Will Be Rolled in 100 Rolls:
- Since the probability of rolling a 4 in one roll is [tex]\( \frac{1}{6} \)[/tex], we can predict the number of times a 4 will be rolled out of 100 rolls by multiplying the total number of rolls by this probability.
- The calculation is: [tex]\( 100 \times \left( \frac{1}{6} \right) \)[/tex].
3. Perform the Calculation:
- [tex]\( 100 \times \frac{1}{6} = 16.666666666666664 \)[/tex].
Therefore, the correct calculation to predict the number of times a 4 will be rolled is:
[tex]\[ (100) \left(\frac{1}{6}\right) \][/tex]
So, the correct option is: [tex]\( (100) \left(\frac{1}{6}\right) \)[/tex].
