Certainly! Let's walk through the detailed solution step-by-step:
1. Understand the problem: We want to find the probability that the second hand of a clock stops between 0 and 5 seconds.
2. Identify the total possible outcomes: The second hand of a clock can stop at any position between 0 and 60 seconds. This means there are 60 possible outcomes, each representing one second.
3. Determine the successful outcomes: The second hand must stop between 0 and 5 seconds to be considered a successful outcome. This includes the following seconds: 0, 1, 2, 3, and 4. Therefore, there are 5 successful outcomes.
4. Calculate the probability: The probability of an event is given by the ratio of the number of successful outcomes to the total number of possible outcomes.
[tex]\[
\text{Probability} = \frac{\text{Number of successful outcomes}}{\text{Total number of possible outcomes}} = \frac{5}{60}
\][/tex]
5. Simplify the fraction:
[tex]\[
\frac{5}{60} = \frac{1}{12}
\][/tex]
So, the probability that the second hand is stopped between 0 and 5 seconds is:
[tex]\[
\boxed{\frac{1}{12}}
\][/tex]
