To solve this problem, we first need to understand the probability of the event and then interpret it in terms of likelihood.
Step-by-step solution:
1. Probability Calculation:
The problem states the probability of rolling a number greater than 1 on a six-sided number cube. A six-sided number cube has the numbers: 1, 2, 3, 4, 5, 6.
The only number not greater than 1 is 1. Therefore, the favorable outcomes are: 2, 3, 4, 5, 6. This gives us a total of 5 favorable outcomes.
2. Fraction of Favorable Outcomes:
Probability is calculated by the formula:
[tex]\[
\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}}
\][/tex]
Here, the number of favorable outcomes is 5 (since 2, 3, 4, 5, 6 are greater than 1) and the total number of possible outcomes is 6 (since there are 6 faces on the cube).
So the probability is:
[tex]\[
\text{Probability} = \frac{5}{6}
\][/tex]
3. Convert Fraction to Decimal:
To interpret this probability, let's convert the fraction to a decimal:
[tex]\[
\frac{5}{6} \approx 0.8333333333333334
\][/tex]
4. Interpretation in Terms of Likelihood:
In probability, the value typically ranges between 0 and 1:
- A probability close to 0 means the event is very unlikely.
- A probability of 1 means the event is certain.
- A probability of 0.5 means the event is neither likely nor unlikely.
- A probability significantly greater than 0.5 means the event is likely.
With the calculated probability of approximately 0.8333333333333334, this value is quite high and much closer to 1. Therefore, it suggests that the event of rolling a number greater than 1 on a six-sided number cube is very likely.
Based on our findings, the best description of the likelihood that matches this probability value is:
D. Likely
So, the answer is D. Likely.
