The table shows the results of a survey of college students.
Find P(a student’s first class of the day is a humanities class|the student is male).
First Class of the Day for College Students
Category Male Female
Humanities 70 80
Science 50 80
Other 60 70
(1 point)
Responses
15 over 41
Image with alt text: 15 over 41
8 over 23
Image with alt text: 8 over 23
7 over 15
Image with alt text: 7 over 15
7 over 18
Image with alt text: 7 over 18
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To find P(a student’s first class of the day is a humanities class|the student is male), we need to use the probability formula:
P(A|B) = P(A and B) / P(B)
In this case, A is the event that a student’s first class of the day is a humanities class, and B is the event that the student is male.
The probability of A and B (a student's first class of the day is a humanities class and the student is male) is 70.
The probability of B (the student is male) is 70 (male humanities) + 50 (male science) + 60 (male other) = 180.
Therefore, the probability P(a student’s first class of the day is a humanities class|the student is male) = 70/180 = 7/18.