Tag Archives: six-sided die

Second Number Larger Than The First

Suppose a six-sided die has sides numbered through . If a person throws the die two times, what is the probability that the second number will be larger than the first? Source: NCTM Mathematics Teacher, September 2006 Solution The desirable … Continue reading

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Tossing Die

Amy, Ben, and Charlie repeatedly take turns tossing a fair die in the given order . What is the probability that Charlie will be the first one to toss a ? Source: NCTM Mathematics Teacher, December 2005 SOLUTION The possible … Continue reading

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Loaded Dice

Two “loaded” dice each have the property that a or a is three times as likely to appear as a , or on each roll. What is the probability that a will be the sum when the two dice are … Continue reading

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Six-sided Die

A 6-sided die is labeled with the first prime numbers instead of the first integers to . The die is rolled twice. What is the probability that the sum of the rolls is a prime number? Source: NCTM Mathematics Teacher … Continue reading

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