1. Suppose Sally wants to take a trip. She has not decided yet if she will fly, drive, or take the train. She is also not sure if she will go to Houston, Boston, Orlando, or Seattle.
    1. How many different possible trips does Sally have to choose from?

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    2. If she chooses her trip randomly from the choices above, what is the probability that she will end up going to Seattle by train?

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    3. If she chooses her trip randomly from the choices above, what is the probability that she will end up going to Boston?

     

     

     

     

  2. Suppose you roll a 20-sided die. What is the probability of each of the following?
    1. Rolling an even number.

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    2. Rolling a 5 or a 7.

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    3. Rolling an odd number or a number higher than 10.

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    4. Not rolling a 2.

     

     

  3. Suppose you need to choose a computer password. You are required to begin with one of the following special characters: $ast ,$,%,$followed by three digits (0 - 9) followed by 4 lowercase letters (a - z).
    1. How many different passwords are possible?

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    2. How many different passwords are possible if no repeats are allowed?

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    3. How many different passwords are possible that end with the word "foot"?

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    4. How many different passwords are possible that have no 7's, 8's, or 9's?

     

     

     

     

  4. Suppose that DVD's are available to be checked out at your local library. Every DVD is classified as either Drama, Western, or Comedy. There are 200 Dramas, 50 Westerns, and 100 Comedies. You randomly choose 25 movies to take home for the week.
    1. What is the probability that all 25 are Comedies?    

       

       

       

       

       

    2. What is the probability that none of the 25 are Westerns?

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    3. What is the probability that at least one of the 25 movies is a Western?
       

     

     

     

     

  5. In a particular parking lot, there are 60 SUVs and 150 sedans and no other vehicles. 10 of the SUVs are red and 40 of the sedans are red.
    1. What is the probability that a randomly chosen vehicle in the parking lot is not red?    

       

       

       

       

    2. What is the probability that a randomly chosen vehicle in the parking lot is not red given that the vehicle is an SUV?
       

     

     

     

     

  6. Suppose you are at a carnival and a game offered with the following rules: It costs $3 to play. There is a large spinner as drawn below. You choose a number from 1 to 9. The spinner is spun and if your number comes up then you get $15 back. If the number 10 comes up, you get $10 back. Otherwise, you get nothing.
    MATH
    1. What is your expected value for this game?    

       

       

       

       

       

       

       

       

       

       

       

    2. If you played this game 800 times in a row, how much money would you expect to lose altogether?
       

     

  7. Suppose that the probability of having a tornado in the next year is 0.3 and the probability of having an earthquake in the next year is 0.4. Also, the probability of having both a tornado and an earthquake in the next year is 0.2.
    1. What is the probability of not having a tornado in the next year?    

       

       

       

       

    2. What is the probability of having a tornado or an earthquake in the next year?    

       

       

       

       

    3. What is the probability of having neither a tornado nor an earthquake in the next year?
       

     

     

     

     

  8. Simplify each of the following as much as possible.
      2. MATH  

       

       

       

       

       

       

       

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MATH