Tag Archives: dice

Five Same Numbers

You roll five fair, six-sided dice, all at the same time. In that one roll, what is the probability of getting five of the same number? Source: NCTM Mathematics Teacher, September 2006 Solution When you roll five dice at the … Continue reading

Posted in Problem solving | Tagged , , , , , , | Leave a comment

Pip Total as Prime Number

A pair of six-sided dice is tossed. What is the probability that the pip total is a prime number? Source: NCTM Mathematics Teacher, January 2006 Solution Number of possible outcomes Desirable outcomes Number of desirable outcomes Probability that the pip … Continue reading

Posted in Problem solving | Tagged , , , , , | Leave a comment

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

Posted in Problem solving | Tagged , , , , , , | Leave a comment

Cubical Dice

A cube is formed by gluing together standard cubical dice. (On a standard die, the sum of the numbers of any pair of opposite faces is .) Find the smallest possible sum of all the numbers showing on the surface … Continue reading

Posted in Problem solving | Tagged , , , , | Leave a comment