1. You are excited because your new card game has arrived. Thisgame consists of 40 unique cards. What is the number of orderedsamples of 4 cards that can be drawn without replacement from thenew deck of cards?

2. You are arranging flowers for a party. You have four whiteflowers, three yellow flowers, and two lavender flowers. How manydifferent ways can these different colors be arranged?

3. You have a brown paper bag that contains two black balls andtwo red balls. Two balls are selected at random withoutreplacement. You are told that at least one of the balls is red.What is the probability that the other ball you selected is alsored? Give your answer to four decimal places.

4. You have a brown paper bag that contains 10 burnt orangeballs and 10 navy blue balls (these are UVA’s colors where I wentto graduate school, undergraduate was at UGA, thus I am a dawg).The balls are drawn at random, one at a time without replacement.Find the probability that the fourth burnt orange ball is theseventh ball drawn. Give your answer to four decimal places.

5 In a meadow there are 50 butterflies of which 10 have beentagged. An entomologist random catches 7 butterflies one at a timewithout replacement. What is the probability that exactly 2 taggedbutterflies will be caught? Give your answer to four decimalplaces.