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?