# Venn Diagram and Probability problems

A survey of 500 students taking one of more modules in algebra, physics and statistics during one semester revealed the following numbers of students in the indicated modules (see attachment).

Draw a venn diagram and show how many students were taking:

i) All three modules

ii) Algebra or statistics but not physics

iii) Algebra but not physics or statistics

2. In a service company, 50% of the workforce is female and 30% are part time employees. 70% of the part time employees are female.

i) If you select an employee at random, what is the probability that it is a male?

ii) If you select a male employee at random, what is the probability that he is part time?

iii) If you select a full time employee at random, what is the probability that it is a male?

https://brainmass.com/physics/statistical-mechanics/venn-diagram-probability-problems-71679

#### Solution Preview

Please see the attachment for the solution.

1. A survey of 500 students taking one of more modules in algebra, physics and statistics during one semester revealed the following numbers of students in the indicated modules

Table 1: Total number of students taking a module

Module Number of students

Algebra 329

Physics 189

Statistics 295

Table 2: Number of students taking a combination of two modules

Modules combination Number ...

#### Solution Summary

This solution includes a drawing of a venn diagram and answers probability problems.