1. If the letters B, T, and U are arranged randomly, what is the probability that they form a standard English word? [Abbreviations do not count as words.]

2. How many ways can 4 true-false questions be answered?

3. Martha draws a card out of a standard deck and tells George it is a king. What is the probability it is a heart?

4. For the following numbers, what is the mean of the minimum, the maximum and the median?

0.4, , , 45%, , ,

5. What is the probability of drawing a king or a heart from a standard deck of 52 cards?

6. If 4 coins are flipped, what is the probability of getting 3 tails?

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

8. 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.]



9. 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?

10. 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