Probability Question ⬇️
In a class of 60 students, 20 are in drama club and 30 are in the art club. If a student is selected at random, what is the probability that the selected student is:
a. In the arts club
b. Neither in the drama club nor in the arts club
Answers
Step-by-step explanation:
a) Let A be the event that the selected student is in the arts club.
So,
no. of favourable outcomes for occurrence of event A = no. of students in the arts club = 30.
Probability that a selected student is in the arts club is
= 30/60 = 1/2
Therefore, probability that the selected student is in the arts club is 1/2
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b) Let X be the event that the selected student is neither in the drama club nor in the arts club.
So,
No. of favourable outcomes of occurrence of event X= No. of students who are neither in the drama club nor in the arts club
= 60-20-30= 10
Probability that the selected student is neither in the drama club nor in the arts club
= 10/60 = 1/6
Thus, the probability that the selected student is neither in the drama club nor in the arts club is 1/6