On any given day, the probability that Megan will be late for work is 0.2.Whether or not she is late to work is independent from day to day.
Megan was late to work today. What is the probability that she will NOT be late to work tomorrow?
naturally, 1-.2 = .8
To find the probability that Megan will not be late to work tomorrow, given that she was late today, we can use conditional probability.
Conditional probability is calculated using the formula:
P(A|B) = P(A and B) / P(B),
where P(A|B) represents the probability of event A occurring given that event B has already occurred, P(A and B) represents the probability of both events A and B occurring, and P(B) represents the probability of event B occurring.
In this case, event A is Megan not being late to work tomorrow, and event B is Megan being late to work today.
We are given that the probability of Megan being late to work on any given day is 0.2. Therefore, the probability of her not being late to work today is 1 - 0.2 = 0.8.
Since Megan being late to work today and not being late to work tomorrow are independent events, the probability of Megan not being late to work tomorrow, given that she was late today, is still 0.8.
Therefore, the probability that Megan will not be late to work tomorrow, given that she was late today, is 0.8.