10. A game at a fair costs $3 to spin the spinner. There are 4 equal spaced areas on the spinner. If a spin lands on 1, then $1 is won. If it lands on 2, then $2 is won and so on. What is the expected value of this game? Is it fair? Why or why not? 11. A password is made from 2 letters followed by 3 digits. How many different passwords can be made if: a. repetition is allowed? b. repetition is not allowed? c. letters can repeat but digits cannot? d. digits can repeat but letters cannot? 12. Given 50 members of a club, how many ways can a: a. committee of 4 be chosen? b. president, vice president, secretary, and treasurer be chosen? 13. How many different 7-card hands can be dealt from a standard deck of 52 playing cards? 14. Find the number of ways to arrange the letters in the following words: a. TEXAS b. OHIO c. MISSISSIPPI 15. How many ways can 6 books be lined up? 16. The mass, in kilograms, of each child in a classroom follows: 29 50 43 52 46 42 53 37 47 49 42 41 42 39 41 38 45 43 44 42 a. Make a dot plot for this data. b. Make an ordered stem and leaf plot for this data. c. Make a grouped frequency table using four classes. d. Draw a histogram of the grouped data in part c. Label the horizontal axis and vertical axis correctly. 17. The numbers of male and female students in the College of Arts and Sciences are listed below by major Make a double bar graph for the data. Label the horizontal axis and vertical axis correctly. Major Number of Male Major Number of Female Students Students Math 100 Math 50 History 100 History 200 English 150 English 200 Science 150 Science 100 Other 75 Other 125