Put a box around your final answers. You do not need to simplify your answers.

1. Suppose you roll a 20-sided die once (A 20-sided die is like a 6-sided die, but it has 20 faces numbered 1 through 20). What is the probability of each of the following:
1. You don't roll a 7.


 
2. You don't roll a number higher than 4.




2. For all of problem 2, assume that license plates must consist of two letters (A-Z) followed by 4 digits (0-9).
1. What is the probability that a randomly chosen license plate does not begin with H?


 
2. What is the probability that a randomly chosen license plate has 1 or more 5's in it? (Hint: What is the opposite of having 1 or more 5's?)




3. Suppose that the local pizza place has 50 different pizza toppings available, 5 are meat toppings and 45 are vegetable toppings. Since you can't decide what to order, you tell the pizza maker to randomly choose 5 different toppings for your pizza. What is the probability that you do not get a vegetarian pizza?