3.A poll was taken to determine the birthplace of a class of college students. Below is a chart of the results.
a.What is the probability that a female student was born in Orlando?
b.What is the probability that a male student was born in Miami?
c.What is the probability that a student was born in Jacksonville?
Gender Number of students Location of birth
Male 10 Jacksonville
Female 16 Jacksonville
Male 5 Orlando
Female 12 Orlando
Male 7 Miami
Female 9 Miami
a. 12/total = ?
b. 7/total = ?
c. (10+16)/total = ?
To calculate the probability, we need to divide the number of favorable outcomes by the total number of outcomes.
a. What is the probability that a female student was born in Orlando?
In this case, the number of favorable outcomes is 12 (the number of female students born in Orlando), and the total number of outcomes is 54 (the total number of students). So, the probability is 12/54, which can be simplified to 2/9.
b. What is the probability that a male student was born in Miami?
The number of favorable outcomes is 7 (the number of male students born in Miami), and the total number of outcomes is still 54. Thus, the probability is 7/54.
c. What is the probability that a student was born in Jacksonville?
To find this probability, we need to sum up the number of students born in Jacksonville, regardless of gender. In this case, the number of favorable outcomes is 10 (male students born in Jacksonville) + 16 (female students born in Jacksonville), which totals 26. The probability is then 26/54, which again can be simplified.