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In this problem, we are given a venn diagram illustrating the number of students enrolled into four select courses, humanities, science, business, and math.
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We want to use this venn diagram to evaluate the following probability, the probability that a new student enrolls into a humanities course.
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So let's look at the venn diagram.
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All the students enrolled in humanities correspond to the number of students comprised into this circle, to the probability for humanities.
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Will correspond to the sum of every portion in this venn diagram.
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So i'm assuming that 47 here corresponds to this region.
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And for example, 22 is this region.
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That every number is within the delimited region.
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So the probability for humanities will correspond to 47 plus 22 plus 22 plus 9 plus 18 plus 37 plus 15 over the total number of new students, which is 578.
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We obtain a probability of 170 over 578.
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Now let's simplify our expression, which simplifies to 5 over 17.
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Similarly, we want to know the probability that a student enters in a science course...