## Too Many Dogs

Determine how many dogs Elizabeth owns.

## Getting Free

How should a prisoner arrange 200 balls so that the prisoner has the greatest possibility of going free?

## Matching Socks

Determine the number of socks you should pull out in order to guarantee that you will have a pair.

## Mystery Envelopes

Knowing what’s in one envelope, should you keep your envelope or switch and ask for the other one?

## Getting on Base

How many hits would you expect your favorite baseball player to have in the next 15 at-bats?

## Hitting the Bulls-eye

How many times would you expect to throw the dart until you hit the bulls-eye?

## Bonus Free Throws

Given Rachel’s free throw percentage, will she send the game into overtime?

## Unusual Occurence

Can a fair coin that is tossed ten times land on heads all ten times?

## Ground Zero

Consider events with probabilities equal to 0.

## Octahedron in a Cube

Determine the probability that a point lies in a particular area.

## Pyramid in a Box

Determine the probability that a point lies in a particular area.

## Medial Properties

Find the probability that a point randomly selected in a large triangle will also be in a smaller triangle formed by connecting the midpoints of the large triangle’s sides.

## Forming a Triangle

Given certain circumstances, determine the probability of forming various triangles.

## Estimating Acreage

Design a simulation that will help you determine the number of acres in the state you live in.

## Tying the Knot

Determine the chances that a couple can get married under an ancient aboriginal tribe custom about marriage.

## Identical Birthdays

What is the probability that someone in a class will have the same birthday as you?

## Tossing Coins in Pascal’s Triangle

Relating the rows of Pascal’s Triangle to the outcomes of coin tossing.

## Football Scoring

What is the probability that a team had at least 3 touchdowns in a particular game?

## Lining Up

Find the different ways it is possible for people to line up.

## Job Interview

Help Zach determine how many different outfits he has to wear on job interviews.

## Photo Exchange

Determine how many photos are exchanged.

## The Card Game

Can you tell how long had friends have played cards together?

## Without Blue or Brown

How many students have a particular color of hair and eyes in a class of 30 students?

## What are the Super Bowl Odds?

Can you pick the winner of the Super Bowl?

## Foolproof Lottery?

Determine the likelihood of winning the lottery.

## Sum of the Dice

Determine the sum that will appear most frequently.

## Absent-minded Students

What is the probability that two students came up with the same answer to a question on an exam?