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This video is provided as supplementary material for courses taught at Howard Community College, and this is going to be the first of a series of videos about conditional probability. Conditional probability can be somewhat difficult to understand so what I wanted to do is start with a couple of fairly simple, intuitive examples and then go on to something more difficult. So heres the first example. In a group of 100 students, 40 are taking algebra, 30 are taking biology, and 20 are taking both algebra and biology. If a student chosen at random is taking algebra, what is the probability that he or she is taking biology? Lets visualize this information with a Venn diagram. So Ive got 100 students all together. Thats going to be the universe. Within the universe are two groups. Theres what well call group A, for the students who are taking algebra. We have 40 students in that group. And then theres, overlapping with that, group B. Group B is for students taking biology, and ther