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Prove whether or not the birthday paradox holds true by looking at random groups of 23 or more people.
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Determine what happens when a test with two equally-likely outcomes is performed only a small number of times. R Estimate the number of beans in small, medium, and large populations to test if estimates are more accurate for small or large populations. R Test if the probability of drawing a particular card from a deck depends upon the number of that type of card in the deck. R Determine if the shape of a die affects the fairness of the roll. R The Effect of Number of Sides on the Fairness of a Die (Dice) R Determine if flipping a coin is truly random. R Determine if odds-makers' predictions about sporting events ere accurate. R How many times do you have to drop ten quarters, while re-dropping all the ones that land on heads until you get all tails? R An unbiased college football division 1A ranking system R Do traffic signals decrease the amount of auto accidents? R How accurately the egg producers measure their eggs? S Making estimations in measurement R Have popular books changed to use simpler language over the past century? R |
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Prove the best strategy for playing Hi-Lo using basic probability.
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Test the probabilities of rolling certain combinations of dice in roll-playing games. R The Chances of Guessing Correctly on a Multiple Choice Exam S See if the lottery numbers are predictable. R Determine if the Monty Hall Theory, created by Marilyn vos Savont, is mathematically correct. R The Randomness of Card Shuffling: Manual vs. Automatic R Can a Computer Generate Random Numbers Accurately? R Determine if it is reasonable in Blackjack to act differently with a 2-card 16 than with a 3-card 16 against a dealers 10 R Determine whether a particular area surveyed statistically represents the slightly larger area surrounding it. R Determine if the probability of picking the right object is better by switching your initial choice with a variant of the shell game, where one choice that is for sure wrong is removed by the person in charge and shown to you after you make your first guess. R Do Random Number Generators Follow Benford's Law? R Determine whether multiplication, exponentiation, or addition will force a set of random numbers [0,1] to conform to Benford's Law. R How large a survey sample must be to get an accurate representation of a whole population? R R Pascal like Triangle, Sierpinski like Gaskets and Fibonacci like Sequences. S What would happen with the use of different base numbers in a Debruijn Sequence? R A pattern of numbers that involve radicals and Pascal's triangle. R A Comparison of transect and radial sampling methods R Comparing methods of biostatistical sampling R Is there a correlation between money spent on middle school students and their performance in high school? R Determine if the use of a Gaussian probability device actually follows a repeatable, predictable model of a bell curve. R Streaks in baseball: A matter of chance? R Which method of bioassay, radial sampling or transect-line sampling, will prove to be a more accurate representation of the whole population sampled. R Can people choose truly random numbers? R Discover if the normal curve applies to sets of large data. R How do the dimensions of a baseball stadium affect batting statistics. R Is there such a thing as streakiness in baseball? R Predictive Analysis using Linear Regression R The validity of Benford's Law and how it can be applied in real life situations. R Test Benford's Law and Zipf's Law, to see if they actually work. R |
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Science Fair Projects Resources
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Mathematics Resources R Citation Guides, Style Manuals, Reference R |
