Using a venn diagram to determine the theoretical probability

The video tutorial explains how to calculate the theoretical probability of a student studying Spanish but not French from a group of 195 students. It uses Venn diagrams to visualize the problem, calculates the number of students studying each language, and determines the probability. The tutorial verifies the result by comparing it to a logical estimate.

How many students are there in total in the senior class?

• 104

• 195

• 86

• 178

How many students study both Spanish and French?

• 12

• 104

• 92

• 86

What is the number of students who study only Spanish?

• 12

• 74

• 104

• 92

How many students do not study either Spanish or French?

• 92

• 74

• 12

• 17

What is the probability that a randomly chosen student studies Spanish but not French?

• 0.92

• 0.12

• 0.47

• 0.50