For each of the following pairs of events, predict which is more likely and explain your reasoning.

1. Event 1: You will win more than $\$1,000,000$ in a lottery sometime in your life.
   Event 2: You will learn to speak a language that you do not already know.

   Hint (a):

   How many people do you know that have won the lottery?
   How many people do you know that speak multiple languages?

   Answer (a):

   Event 2 is more likely because few people are lottery
   winners while many people learn foreign languages.

2. Event 1: Your classmates will all wear the same kind of shoes on the same day.
   Event 2: Your classmates will all eat the same thing for lunch on the same day.

   Hint (b):

   Think about the first part of the problem.
   Do you shop with all of your classmates?