Question

Part A of your history test has 15 multiple choice questions. Each question has four choices. Part B has 10 true/false questions. How many ways are there to answer the 15 multiple choice questions? How many ways are there to answer the 10 true or questions? How many are there to answer all 25 questions? If you guess the answer to each question, what is the probability that you will get them all right?

Answer 1

15 MULTIPLE CHOICE : 4^15 = 1073741824

10 T/F CHOICE : 2^10 = 1024

25 QUESTIONS : (4^15)(2^10)

Answer 2

1.363e-10