# Probability and counting rules

Not what you're looking for?

1. In a board of directors composed of 8 people, how many ways can 1 chief executive officer, 1 director, and 1 treasure be selected. Answer the question, and show your method.

2. The general manager of a fast food restaurant chanin must select 6 resturants from 11 for a promotional program. How many different possible ways can this selection be done. Answer the question, and show your method.

3. How many ways can a jury of 6 women and 6 men be selected from 10 men and 12 women in a golf club. Answer the question, and show your method.

4. An advertising manager decides to have an ad campaign in which 8 special calculators will be hidden at various locations in a shopping mall. If he has 17 locations from which to pick, how many different possible combinations can he choose. Answer the question, and show your method.

5. A parent teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers. Find the probability that the committee will consist of these people (assume that the selection will be random). Show your method and answer for each part.

(a) all teachers

(b) 2 teachers and 2 parents

(c) all parents

(d) 1 teacher and 3 parents

6. A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting. Show your method and answer for each part.

(a) no defective resistors

(b) 1 defective resistor

(c) 3 defective resistors

7. An insurance sales representative selects three policies to review. The group of policies she can select from contains 8 life policies, 5 automobile policies, and 2 homeowner's policies. Find the probability of selecting. Show your method and answer for each part.

(a) all life policies

(b) both homeowners policies

(c) all automobile policies

(d) 1 of each policy

(e) 2 life policies and 1 automobile policy

8. Find the probability of randomly selecting 2 mathematics books and 3 physics books from a box containing 4 mathematics books and 8 physics books. Show your method and your answer.

##### Purchase this Solution

##### Solution Summary

Solution contains calculations of probabilities.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Basic Physics

This quiz will test your knowledge about basic Physics.

##### Classical Mechanics

This quiz is designed to test and improve your knowledge on Classical Mechanics.

##### The Moon

Test your knowledge of moon phases and movement.

##### Variables in Science Experiments

How well do you understand variables? Test your knowledge of independent (manipulated), dependent (responding), and controlled variables with this 10 question quiz.

##### Introduction to Nanotechnology/Nanomaterials

This quiz is for any area of science. Test yourself to see what knowledge of nanotechnology you have. This content will also make you familiar with basic concepts of nanotechnology.