The school bus will be either be on time ir late. The probability that it will be on time is therefore 0.5.

No. You're saying it will be late half the time. But you haven't posted data to support this.

To determine the probability that the school bus will be on time, you need to have some information about the occurrence of on-time and late arrivals of the bus in the past. If you have historical data on the bus's arrival times, you can calculate the probability based on that data.

Here is a step-by-step explanation of how you can determine the probability of the school bus being on time:

1. Collect data: Gather information about the bus's arrival times over a specific period. Note down the number of times the bus arrived on time and the number of times it was late.

2. Count the occurrences: Calculate the total number of observations you have for both on-time and late arrivals.

3. Calculate probabilities: To find the probability of the bus being on time, divide the number of times it arrived on time by the total number of observations. Similarly, divide the number of times it was late by the total number of observations to find the probability of being late.

4. Assess probability: Based on your data, if you find that the bus has arrived on time an equal number of times as it has been late, the probability of it being on time would be 0.5. However, if you observe that it has been on time or late more frequently, you can adjust the probabilities accordingly.

It's important to note that the probability can change over time as more data is collected, so regularly updating your calculations based on recent arrivals will provide a more accurate estimate.

Remember, without any historical data, it is difficult to determine the probability accurately.