SOLUTION: An elementary school is offering two optional language classes, one in French and the other in Spanish. These classes are open to any of the 120 upper-grade students in the schoo

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Question 1190738: An elementary school is offering two optional language classes, one in French and the other in
Spanish. These classes are open to any of the 120 upper-grade students in the school. Suppose
there are 32 students in the French class, 36 in the Spanish class, and a total of 8 who are in
both classes. If an upper-grade student is randomly chosen, what is the probability that this
student is enrolled in at least one of these classes

Answer by ikleyn(52781) About Me  (Show Source):
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An elementary school is offering two optional language classes, one in French and the other in
Spanish. These classes are open to any of the 120 upper-grade students in the school. Suppose
there are 32 students in the French class, 36 in the Spanish class, and a total of 8 who are in
both classes. If an upper-grade student is randomly chosen, what is the probability that this
student is enrolled in at least one of these classes
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The total number of upper-grade students is 120.


The number of those who learn at least one of the two languages is  32 + 36 - 8 = 60.


Therefore, the probability that the randomly chosen upper-grade student is enrolled in 
at least one of these classes is


    P = 60%2F120 = 1%2F2 = 0.5 = 50%.     ANSWER

Solved.