9! \ 1. 12! 12. 10! 3! 7! 13. 4! 5! 8! 14. 3! 9. 10! 10. 9! 6!

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?

A new game is being introduced at the Hard Rock Cafe.  A ball is spun around a wheel until it comes to rest in one of many spots.  Whatever is listed in that spot will be the player's winnings.  If the wheel has 11 spots labeled $1, 10 spots labeled $2, and 5 spots labeled $10, how much should a player expect to win on average?

4. How many cards must you pick from a standard 52-card deck to be sure of getting at least 1 red card? Why?

In how many ways can you select a group of 7 red cards and 4 black cards from a deck containing 10 red cards and 9 black cards?

3. How many different arrangements are there using all the letters in the word COMBINATORICS. A. 6.23×10⁹ B. 7.78×108 C. 1.56x10⁹ D. 1.25×10¹0