To determine which equation can be used to predict the number of times Terry will roll a number greater than 4 on a number cube (dice) that is numbered from 1 to 6, we need to follow these steps:
1. Identify the favorable outcomes: The numbers greater than 4 on a standard six-sided dice are 5 and 6. This means there are 2 favorable outcomes.
2. Identify the total outcomes: A fair six-sided die has 6 possible outcomes (1 through 6).
3. Compute the probability: The probability of rolling a number greater than 4 in a single roll is calculated by dividing the number of favorable outcomes by the total number of outcomes. This gives:
[tex]\[
P(\text{number greater than 4}) = \frac{\text{favorable outcomes}}{\text{total outcomes}} = \frac{2}{6}
\][/tex]
4. Predict the number of favorable outcomes over multiple rolls: Terry rolls the dice 50 times. To predict the number of times she will roll a number greater than 4, we use the probability found in step 3 and multiply it by the total number of rolls. This can be expressed as:
[tex]\[
P(\text{number greater than 4}) \times \text{number of rolls} = \left(\frac{2}{6}\right) \times 50
\][/tex]
So, the correct equation that can be used to predict the number of times Terry will roll a number greater than 4 is:
[tex]\[
P(\text{number greater than 4}) = \frac{2}{6} \times 50
\][/tex]
Therefore, the correct answer is:
[tex]\[
\boxed{P(\text{number greater than 4}) = \frac{2}{6} \times 50}
\][/tex]
