Help with probability questions:

• What is the probability that you randomly pick the same arrangement of the letters in "Florida" as someone else? (Give your answer as a decimal rounded to three decimal places.)
• Considering that there is a large number of ways to arrange the letters in the word "Mississippi", what is the probability that you and a classmate could randomly select the same arrangement? (Give your answer as a decimal rounded to three decimal places.)
• Twelve students are competing for three writing scholarships. In how many ways can the scholarships be awarded?