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Troy has a number cube with the numbers through on it. Assuming each side is equally likely to appear when he rolls the cube, find the following probabilities. Note: When two or more numbers are multiplied, each of the numbers is a factor of the product.  

Remember that the probability of any event is:

  1. P(rolls a )

    There is only one way to roll a and there are six possible outcomes on any given roll.
    Knowing this, can you write the probability of rolling a ?

  1. P(rolls an odd number)

    How many odd numbers are there from to ?

  1. P(rolls a factor of )

    There are four factors of : , , , and .
    That means there are four possible successes.
    Thus, the probability of rolling a factor of is  or .