Eugenia rolls a six-sided number cube. What is the probability that she gets a number greater than 1?

A. [tex]\frac{5}{6}[/tex]

B. [tex]\frac{1}{6}[/tex]

C. [tex]\frac{1}{3}[/tex]

D. [tex]\frac{2}{3}[/tex]



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.