Answer :
Certainly! Let's solve this probability question step-by-step.
1. Understand the Problem:
Eugenia is rolling a six-sided number cube (die), and we need to find the probability that she will roll a number greater than 1.
2. Identify Possible Outcomes:
The six-sided number cube has faces numbered from 1 to 6.
3. Determine Favorable Outcomes:
We need to identify which of these numbers are greater than 1. The numbers greater than 1 on a six-sided die are 2, 3, 4, 5, and 6. So, there are 5 favorable outcomes.
4. Determine Total Outcomes:
Since the number cube has 6 faces, there are 6 possible outcomes.
5. Calculate the Probability:
Probability is calculated as the ratio of favorable outcomes to the total number of outcomes.
[tex]\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \][/tex]
Substituting the values:
[tex]\[ \text{Probability} = \frac{5}{6} \][/tex]
6. Select the Correct Answer:
The probability that Eugenia rolls a number greater than 1 is [tex]\(\frac{5}{6}\)[/tex].
So, the correct answer is:
A. [tex]\(\frac{5}{6}\)[/tex]
This step-by-step solution shows how we arrive at the probability of rolling a number greater than 1 on a six-sided number cube.
1. Understand the Problem:
Eugenia is rolling a six-sided number cube (die), and we need to find the probability that she will roll a number greater than 1.
2. Identify Possible Outcomes:
The six-sided number cube has faces numbered from 1 to 6.
3. Determine Favorable Outcomes:
We need to identify which of these numbers are greater than 1. The numbers greater than 1 on a six-sided die are 2, 3, 4, 5, and 6. So, there are 5 favorable outcomes.
4. Determine Total Outcomes:
Since the number cube has 6 faces, there are 6 possible outcomes.
5. Calculate the Probability:
Probability is calculated as the ratio of favorable outcomes to the total number of outcomes.
[tex]\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \][/tex]
Substituting the values:
[tex]\[ \text{Probability} = \frac{5}{6} \][/tex]
6. Select the Correct Answer:
The probability that Eugenia rolls a number greater than 1 is [tex]\(\frac{5}{6}\)[/tex].
So, the correct answer is:
A. [tex]\(\frac{5}{6}\)[/tex]
This step-by-step solution shows how we arrive at the probability of rolling a number greater than 1 on a six-sided number cube.
