A fair six-sided die is rolled repeatedly. How many times do roll the die in order to get the first "six" given that the first "four" was rolled on your second roll and your first "five" was rolled on the third roll?

At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32 books. If you decide to randomly choose three books, what is the probability that the three you choose will consist of each of their favorite books? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

How many 5 card hands possible with a 26 card deck?

in poker, how many ways can you get three aces and two 3's

How many dierent 6 card hands can be dealt from a deck of 52 cards?

How many ways can you choose a four, a nine, or a jack from a deck of 52 cards?

Imagine you draw a marble from a bag with one green, one red, one blue, and one purple marble 9 times.  You replace the marble you drew every time.  You record the color each time you draw.  How many outcomes are possible?