Home

Simple Event Problems
Proposal
Number Sense
Interactive Quiz
Lesson Plans
History
Problem Bank
Glossary
Quotes
Helpful Links
References




Larson Geometry

PT: Sample Space & Size, Simple Event

RW: Hot Air Balloons

In a "Hare and Hounds" balloon race, one balloon (the hare) leaves the ground first.  About 10 minutes later, the other balloons (the hounds) leave.  The hare then lands and marks a square region as the target.  The hounds each try to drop a marker in the target.

a)   Suppose that the hounds’ markers are equally likely to land anywhere in a rectangular field that is 200 feet by 250 feet.  The target is a 20X20 square that lies in the field.  What is the probability that the marker lands in the target?

b)   If the area of the target is doubled, how does the probability change?

c)   If each side of the target area is doubled, how does the probability change


Larson Algebra 1, p. 585

M: Negative and Positive Recency

PT: Simple Events, Odds

RW: Darts

The bull’s eye of a standard dartboard has a radius of about 1 inch.  The inner circle has a radius of 5 inches, and the outer circle has a radius of 9 inches.  Assume that when a dart is thrown at the board, the dart is equally likely to hit any point inside the outer circle.

a)   What is the probability that a dart that hits the dartboard lands on the bull’s eye?

b)   What is the probability that a dart that hits the dartboard lands between the inner and outer rings?

Gerver Algebra 2, p.5

Say that you hit the bull’s eye 6 out of 20 times.

a)   What is the probability that you hit the bull’s eye with your first shot?

b)   What is the probability that you hit the bull’s eye with your 21st arrow?  What are the odds of this happening?


Key to Problem Bank:

M: Misconception PT: Probability Topic RW: Real World Topic