1. How many truck license plates are possible if each license begins with 5 digits and ends with a letter?

2. If a rectangle is picked at random from all the possible rectangles in the figure below, what is the probability it has a perimeter of 8? Each square has area 1. [Squares are rectangles.]



3. In the World Quidditch League there are two divisions, one with 4 teams and one with 5. Each team is to play every team in its own division twice and each team in the other division once. What is the total number of contests that will be played?

4. Dr. Don Pickett is a pediatric dermatologist. The ages of his patients for the last month are given in the table below. Based on these results, what is the probability that his next patient will be less that 8 years old?

Patient Age Group Number of Patients

0-3 83
4-7 37
8-11 22
12-15 96
16-19 19

5. A player’s batting average is calculated by dividing his number of hits by his number of at-bats. At the end of April, Edgar’s batting average was .361. Then he got 25 hits in his next 62 at-bats. If his total number of at-bats was then 145, what was his batting average?

6. Ty Score is a 63% passer. What is the probability that he completes his next 5 passes?

7. Two machines are each capable of generating random digits [0,9]. What is the probability that the sum of the digits generated by each machine is a prime number?

8. Jose Canusea has 3 flags, one red, one white, and one blue. He can fly these flags on his flag pole in any order three at a time, two at a time, one at a time, or none at a time. How many different messages can he send with this three flag system?