A group consists of 120 students. Of these, 60 are studying French, 50 are studying Spanish and 20 are studying French and Spanish. A student is selected at random.What is the Probability that the student is studying only French?
(60-20)/120 = ____
To find the probability that the student is studying only French, we need to know the total number of students studying French and the total number of students in the group.
Given:
Total number of students in the group = 120
Number of students studying French = 60
Number of students studying Spanish = 50
Number of students studying both French and Spanish = 20
To find the number of students studying only French, we need to subtract the number of students studying both French and Spanish from the total number of students studying French.
Number of students studying only French = Number of students studying French - Number of students studying both French and Spanish
Number of students studying only French = 60 - 20 = 40
Now, we have the number of students studying only French (40) and the total number of students (120). To find the probability, we divide the number of students studying only French by the total number of students:
Probability = Number of students studying only French / Total number of students
Probability = 40 / 120
Simplifying, we get:
Probability = 1/3
Therefore, the probability that the student selected at random is studying only French is 1/3.