Question
A fair die is rolled. What is the probability of getting a number less than 5? Classify the event.
0.67, likely
0.50, equally likely
0.17, unlikely
1.0, certain
0.67, likely
0.50, equally likely
0.17, unlikely
1.0, certain
Answers
GPT-4o mini
To find the probability of rolling a number less than 5 on a fair die, we first identify the possible outcomes when rolling a die, which are the numbers {1, 2, 3, 4, 5, 6}.
The numbers that are less than 5 are {1, 2, 3, 4}. There are 4 successful outcomes where the result is less than 5.
The total number of outcomes when rolling a die is 6. Therefore, the probability \( P \) of rolling a number less than 5 is calculated as follows:
\[
P(\text{number less than 5}) = \frac{\text{Number of successful outcomes}}{\text{Total outcomes}} = \frac{4}{6} = \frac{2}{3} \approx 0.67
\]
Now, regarding the classification of the event:
- \( 0.67 \) probability indicates that getting a number less than 5 is likely to happen.
So the final answer is:
**0.67, likely**.
The numbers that are less than 5 are {1, 2, 3, 4}. There are 4 successful outcomes where the result is less than 5.
The total number of outcomes when rolling a die is 6. Therefore, the probability \( P \) of rolling a number less than 5 is calculated as follows:
\[
P(\text{number less than 5}) = \frac{\text{Number of successful outcomes}}{\text{Total outcomes}} = \frac{4}{6} = \frac{2}{3} \approx 0.67
\]
Now, regarding the classification of the event:
- \( 0.67 \) probability indicates that getting a number less than 5 is likely to happen.
So the final answer is:
**0.67, likely**.