Student Enrollment and Probability Analysis

Avenel Kumar presents a tutorial on solving a conditional probability problem using Venn diagrams. The problem involves determining the probability of students being enrolled in all three subjects or only in functions. The tutorial walks through the calculations step-by-step, using the given data of student enrollments in data management, calculus, and functions. The video concludes with a summary of the solutions and encourages viewers to practice similar problems.

What is the main topic discussed in the video?

• Calculus and its applications

• Linear algebra and matrices

• Statistics and data analysis

• Conditional probability using Venn diagrams

How many students are enrolled in the data management course?

• 70

• 60

• 50

• 40

Which subject has the highest number of enrollments?

• Functions

• All have equal enrollments

• Calculus

• Data Management

How many students are enrolled in both data management and calculus?

• 20

• 5

• 10

• 15

What is the total number of students enrolled in the three subjects?

• 100

• 125

• 150

• 175

How many students are enrolled in all three subjects?

• 5

• 3

• 6

• 4

What is the probability that a randomly selected student is enrolled in all three subjects?

• 1/25

• 1/15

• 1/10

• 1/20

How many students are enrolled only in functions?

• 40

• 30

• 45

• 35

What is the probability that a student is enrolled only in functions?

• 5/25

• 8/25

• 7/25

• 6/25

How many students are enrolled in both functions and data management?

• 20

• 5

• 15

• 10