Sarah has been late for work 9 out of the last 30 days. To find the probability that she will be on time for work on any given day, we can use the concept of complementary probability.
1. Calculate the probability of Sarah being late:
- Probability of being late = Number of days she was late / Total number of days
- Probability of being late = 9 / 30 = 0.3 or 30%
2. Calculate the probability of Sarah being on time (complementary event):
- Probability of being on time = 1 - Probability of being late
- Probability of being on time = 1 - 0.3 = 0.7 or 70%
Therefore, based on the given information, the probability that Sarah will be on time for work on any given day is 0.7 or 70%.
