# 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.

Using a Venn Diagram to Solve a Probability Problem

Dr. Hawk works in an allergy clinic, and his patients have the following allergies: 68 are allergic to diary products, 93 are allergic to pollen, 91 are allergic to animal fur, 31 are allergic to all three, 29 are allergic only to pollen, 12 are allergic only to dairy products, 40 are allergic to to dairy products and pollen.

a) What percent of Dr. Hawks's patients are allergic to animal fur?

b) What percent of Dr. Hawk's patients are only allergic to allergic to animal fur?

Also how would I set up the Venn Diagram showing the correct numbers outlined in the problem.

View Full Posting Details