Category Archives: Probability

MATHCOUNTS 2022 Exercises – 2

Posted on December 3, 2021 by kevin

An ant is traveling along the side of a regular dodecagon with side length as $1$. What is the expected value of minimum distance the ant travels between two different vertices randomly chosen? Express your answer as a common fraction … Continue reading →

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Crazy Jumping Frog

Posted on January 29, 2020 by kevin
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MATHCOUNTS Exercises – 10

Posted on January 8, 2020 by kevin

Joseph, Pedro, Samuel and David leave their backpacks by the classroom door. When the alarm rings they rush to leave, each randomly grabbing a backpack on the way out. What is the probability that each boy takes a backpack that … Continue reading →

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MATHCOUNTS Exercises – 8

Posted on December 31, 2019 by kevin

3 cards are randomly selected from a desk of 9 cards uniquely number from 1 to 9. What is the probability that no two of the cards selected have numbers that differ by 1? Click here to show the solutions. … Continue reading →

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MATHCOUNTS Exercises – 7

Posted on December 31, 2019 by kevin

John has two coins in his pocket. One of them is a fair coin, the other is crooked that will land on head 2 out of 3 throws. John randomly selects one of the coins from his pocket, and flips … Continue reading →

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