Additional Investigations
Absentminded Students: What is the probability that two students came up with the same answer to a question on an exam?
Sum of the Dice: Determine the sum that will appear most frequently.
Foolproof Lottery?: Determine the likelihood of winning the lottery.
What are the Super Bowl Odds?: Can you pick the winner of the Super Bowl?
Without Blue or Brown: How many students have a particular color of hair and eyes in a class of 30 students?
The Card Game: Can you tell how long had friends have played cards together?
Photo Exchange: Determine how many photos are exchanged.
Job Interview: Help Zach determine how many different outfits he has to wear on job interviews.
Lining Up: Find the different ways it is possible for people to line up.
Football Scoring: What is the probability that a team had at least 3 touchdowns in a particular game?
Tossing Coins in Pascal's Triangle: Relating the rows of Pascal's Triangle to the outcomes of coin tossing.
Identical Birthdays: What is the probability that someone in a class will have the same birthday as you?
Tying the Knot: Determine the chances that a couple can get married under an ancient aboriginal tribe custom about marriage.
Estimating Acreage: Design a simulation that will help you determine the number of acres in the state you live in.
Forming a Triangle: Given certain circumstances, determine the probability of forming various triangles.
Medial Probabilities: 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.
Pyramid in a Box: Determine the probability that a point lies in a particular area.
Octahedron in a Cube: Determine the probability that a point lies in a particular area.
Ground Zero: Consider events with probabilities equal to 0.
Unusual Occurrence: Can a fair coin that is tossed ten times land on heads all ten times!
Bonus Free Throws: Given Rachel's free throw percentage, will she send the game into overtime?
Hitting the Bullseye: How many times would you expect to throw the dart until you hit the bullseye?
Getting on Base: How many hits would you expect your favorite baseball player to have in the next 15 atbats?
Mystery Envelopes: Knowing what's in one envelope, should you keep your envelope or switch and ask for the other one?
Matching Socks: Determine the number of socks you should pull out in order to guarantee that you will have a pair.
Getting Free: How should a prisoner arrange 200 balls so that the prisoner has the greatest possibility of going free?
Too Many Dogs: Determine how many dogs Elizabeth owns.
Submit your idea for an investigation to InterMath.
