At a local high school, the probability that a student is absent on any given day is about 0.08. however, the probability that a student is absent given it is friday is 0.20. are these two events independent?

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Mathematics

Trigger

19 August, 17:23

At a local high school, the probability that a student is absent on any given day is about 0.08. however, the probability that a student is absent given it is friday is 0.20. are these two events independent?

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Tabitha Mercado · Answer 1

No.

Step-by-step explanation:

Your keyword here is "given." If we calculate the probability of an event, GIVEN that one event occurs, too, then we have dependent events, because the outcome of one event relies on the other. For this scenario, you have the probability of absence on any day of the week is 0.08, but then they say "well, but if it's Friday, that probability actually goes up quite a bit." This tells you that your events aren't independent because the day being Friday increases the chances of a student being absent from the baseline 0.08 probability.