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

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

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

    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.

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