Answer each of the following questions. Show all your work.

1) What are the odds of rolling a number greater than 3 on a six sided die?

2) What is the probability of rolling a number greater than 3 on a six sided die?

3) Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a green marble?

4) Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a red marble?

5) Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a green marble, replacing it, and then picking a brown marble?

6) Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a yellow marble, replacing it, and picking another yellow marble?

7) Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a blue marble, not replacing it, and picking a brown marble?

8) Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a brown marble, not replacing it, and picking another brown marble?

9) Suppose you are making yourself a sandwich. How many different sandwiches can you make if you have 4 choices in bread, 2 choices in meat, and 5 choices in cheese? 

10) Suppose you are getting dressed in the morning and are looking for an outfit. How many different outfits can you create if you have 5 different shirts, 6 different pants, 3 different pairs of shoes, and 2 different hats?