September 2002

1. Get Three Fourths of Them?
   
   
• A multiple-choice test has 3 possible answers to each question. Suppose a person randomly guesses the answers to the first four questions. What is the probability that the person will get exactly 3 of them correct after having guessed the answers to all 4.

 

2. Find Them
   
   
   • Find all values of t so that the equation
     as given
     has a unique solution.
     
     

Solutions