The probability that is Friday and that a student is absent is 0.3. Since there are 5 school days in a week, the probability that is friday is 0.2. What is the probability that a student is absent given that today is friday?
Since you are not considering the other days of the week, 0.3.
To find the probability that a student is absent given that today is Friday, we can use the conditional probability 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 together.
- P(B) represents the probability of event B occurring.
In this case, event A represents "a student is absent" and event B represents "today is Friday."
Given the information provided:
P(A and B) = 0.3 (the probability that it is Friday and a student is absent)
P(B) = 0.2 (the probability that it is Friday)
Let's substitute the values into the equation:
P(A|B) = 0.3 / 0.2
Simplifying the equation, we get:
P(A|B) = 1.5
Therefore, the probability that a student is absent given that today is Friday is 1.5, or 150%. However, it's important to note that probabilities cannot exceed 100%, so this would indicate a calculation error or an error in the given probabilities.